Edit Profile (opens in new tab) Colliot-Thélène, Jean-Louis Co-Author Distance Author ID: colliot-thelene.jean-louis Published as: Colliot-Thélène, Jean-Louis; Colliot-Thélène, J.-L.; Colliot-Thelene, Jean-Louis; Colliot-Thélène, Jean Louis; Colliot-Thelene, J.-L.; Colliot-Théléne, Jean-Louis; Colliot-Théléne, J.-L.; Colliot-Thélène, J. L. more...less Further Spellings: Кольё-Телэн Жан-Луи Homepage: https://www.math.u-psud.fr/~colliot/ External Links: MGP · ORCID · Wikidata · Google Scholar · Math-Net.Ru · GND · IdRef · theses.fr Documents Indexed: 180 Publications since 1972, including 2 Books and 20 Additional arXiv Preprints 2 Contributions as Editor · 9 Further Contributions Reviewing Activity: 39 Reviews Co-Authors: 64 Co-Authors with 112 Joint Publications 1,475 Co-Co-Authors all top 5 Co-Authors 77 single-authored 23 Sansuc, Jean-Jacques 19 Skorobogatov, Alexei Nikolaïevitch 13 Parimala, Raman 9 Swinnerton-Dyer, Peter 8 Suresh, Venapally 4 Harari, David 4 Ojanguren, Manuel 4 Pirutka, Alena 4 Ramdorai, Sujatha 3 Gille, Philippe 3 Harbater, David 3 Hartmann, Julia 3 Kahn, Bruno 3 Krashen, Daniel 3 Kunyavskiĭ, Boris Èmmanuilovich 3 Raskind, Wayne 3 Xu, Fei 2 Birch, Bryan John 2 Coray, Daniel François 2 Gabber, Ofer 2 Hassett, Brendan 2 Heath-Brown, Roger 2 Kato, Kazuya 2 Poonen, Bjorn 2 Scavia, Federico 2 Soulé, Christophe 2 Wei, Dasheng 2 Wittenberg, Olivier 1 Auel, Asher Natan 1 Ballico, Edoardo 1 Beauville, Arnaud 1 Bonavero, Laurent 1 Borovoi, Mikhail V. 1 Boutet de Monvel, Anne Marie 1 Browning, Timothy Daniel 1 Coates, John Henry 1 Coste, Michel 1 Desjardins, Julie 1 Garibaldi, Skip 1 Guralnick, Robert Michael 1 Hoobler, Raymond Taylor 1 Ischebeck, Friedrich 1 Iyer, Jaya N. N. 1 Jannsen, Uwe 1 Kanevsky, Dimitri 1 Karpenko, Nikita Aleksandrovich 1 Katz, Nicholas Michael 1 Levine, Marc Noel 1 Loughran, Daniel 1 Madore, David A. 1 Mahé, Louis 1 Merel, Loïc 1 Merkur’ev, Aleksandr Sergeevich 1 Pál, Ambrus 1 Popov, Vladimir Leonidovich 1 Reichstein, Zinovy B. 1 Reid, Miles 1 Roy, Marie-Françoise 1 Saito, Shuji 1 Salberger, Per 1 Sankaran, Gregory Kumar 1 Scheiderer, Claus 1 Sridharan, Ramaiyengar 1 Starr, Jason Michael 1 Szamuely, Tamás 1 Tschinkel, Yuri 1 Van Geel, Jan 1 Voisin, Claire 1 Vojta, Paul Alan 1 Voloch, José Felipe 1 Wiegand, Roger Allen 1 Winter, Rosa all top 5 Serials 11 Journal für die Reine und Angewandte Mathematik 9 Duke Mathematical Journal 7 Comptes Rendus de l’Académie des Sciences. Série I 6 Acta Arithmetica 6 Compositio Mathematica 6 Inventiones Mathematicae 5 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 4 L’Enseignement Mathématique. 2e Série 3 Bulletin de la Société Mathématique de France 3 Transactions of the American Mathematical Society 3 Annals of Mathematics. Second Series 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Gazette des Mathématiciens 2 Journal of Algebra 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Proceedings of the London Mathematical Society. Third Series 2 \(K\)-Theory 2 Journal of the American Mathematical Society 2 Journal of the Ramanujan Mathematical Society 2 Journal de Théorie des Nombres de Bordeaux 2 Izvestiya: Mathematics 2 Documenta Mathematica 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Lecture Notes in Mathematics 2 Algebraic Geometry 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Advances in Mathematics 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Commentarii Mathematici Helvetici 1 Publications Mathématiques 1 Journal of the Faculty of Science. Section I A 1 Journal of Pure and Applied Algebra 1 Michigan Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Topology 1 IMRN. International Mathematics Research Notices 1 Expositiones Mathematicae 1 Notices of the American Mathematical Society 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Geometry 1 St. Petersburg Mathematical Journal 1 Taiwanese Journal of Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Journal of the Institute of Mathematics of Jussieu 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Bulletin de la Société Mathématique de France. Supplément. Mémoires 1 Pure and Applied Mathematics Quarterly 1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 1 Panoramas et Synthèses 1 Developments in Mathematics 1 Journal of \(K\)-Theory 1 Séminaire de Théorie des Nombres 1 European Journal of Mathematics 1 Annals of \(K\)-Theory 1 Épijournal de Géométrie Algébrique. EPIGA 1 Tunisian Journal of Mathematics all top 5 Fields 179 Algebraic geometry (14-XX) 83 Number theory (11-XX) 23 Field theory and polynomials (12-XX) 22 Group theory and generalizations (20-XX) 10 \(K\)-theory (19-XX) 6 General and overarching topics; collections (00-XX) 6 History and biography (01-XX) 6 Associative rings and algebras (16-XX) 4 Commutative algebra (13-XX) 3 Category theory; homological algebra (18-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 149 Publications have been cited 2,568 times in 1,180 Documents Cited by ▼ Year ▼ La R-équivalence sur les tores. Zbl 0356.14007 Colliot-Thelene, Jean-Louis; Sansuc, Jean-Jacques 129 1977 La descente sur les variétés rationnelles. II. (The descent on rational varieties. II). Zbl 0659.14028 Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques 124 1987 Principal homogeneous spaces under flasque tori; applications. Zbl 0597.14014 Colliot-Thélène, J.-L.; Sansuc, J.-J. 103 1987 The density of rational points on curves and surfaces. (With an appendix by J.-L. Colliot-Thélène). Zbl 1039.11044 Heath-Brown, D. R. 85 2002 A Hasse principle for two dimensional global fields. Appendix by Jean-Louis Colliot-Thélène. Zbl 0576.12012 Kato, Kazuya 84 1986 Torsion dans le groupe de Chow de codimension deux. Zbl 0574.14004 Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques; Soulé, Christophe 81 1983 Birational invariants, purity and the Gersten conjecture. Zbl 0834.14009 Colliot-Thélène, J.-L. 78 1995 Intersections of two quadrics and Châtelet surfaces. I. Zbl 0622.14029 Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter 73 1987 Variétés unirationelles non rationelles: Au-delà de l’exemple d’Artin et Mumford. (Non rational unirational varieties: Beyond the Artin-Mumford example). Zbl 0686.14050 Colliot-Thélène, Jean-Louis; Ojanguren, Manuel 63 1989 The Bloch-Ogus-Gabber theorem. Zbl 0911.14004 Colliot-Thélène, Jean Louis; Hoobler, Raymond T.; Kahn, Bruno 62 1997 Fibres quadratiques et composantes connexes réelles. Zbl 0418.14016 Colliot-Thelene, J.-L.; Sansuc, J.-J. 61 1979 Stably rational non rational varieties. (Variétés stablement rationnelles non rationnelles.) Zbl 0589.14042 Beauville, Arnaud; Colliot-Théléne, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter 55 1985 The rationality problem for fields of invariants under linear algebraic groups (with special regards to the Brauer group). Zbl 1147.13002 Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques 52 2007 Intersections of two quadrics and Châtelet surfaces. II. Zbl 0622.14030 Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter 52 1987 Unramified cohomology and the entire Hodge conjecture. (Cohomologie non ramifiée et conjecture de Hodge entière.) Zbl 1244.14010 Colliot-Thélène, Jean-Louis; Voisin, Claire 50 2012 Three-dimensional quartic threefolds: stable non-rationality. (Hypersurfaces quartiques de dimension 3: non-rationalité stable.) Zbl 1371.14028 Colliot-Thélène, Jean-Louis; Pirutka, Alena 47 2016 Hilbert’s theorem 90 for \(K^ 2\), with application to the Chow groups of rational surfaces. Zbl 0527.14011 Colliot-Thelene, Jean-Louis 46 1983 On the Chow groups of certain rational surfaces: a sequel to a paper of S. Bloch. Zbl 0479.14006 Colliot-Thelene, Jean-Louis; Sansuc, Jean-Jacques 44 1981 Locally trivial principal homogeneous spaces. (Espaces principaux homogènes localement triviaux.) Zbl 0795.14029 Colliot-Thélène, Jean-Louis; Ojanguren, Manuel 42 1992 The Brauer-Grothendieck group. Zbl 1490.14001 Colliot-Thélène, Jean-Louis; Skorobogatov, Alexei N. 42 2021 Brauer-Manin obstruction for integral points of homogeneous spaces and representation by integral quadratic forms. With an appendix by Dasheng Wei and Xu. Zbl 1190.11036 Colliot-Thélène, Jean-Louis; Xu, Fei 41 2009 Patching and local-global principles for homogeneous spaces over function fields of \(p\)-adic curves. Zbl 1332.11065 Colliot-Thélène, Jean-Louis; Parimala, Raman; Suresh, Venapally 41 2012 La descente sur les variétés rationnelles. Zbl 0451.14018 Colliot-Thelene, J.-L.; Sansuc, J.-J. 39 1980 Arithmetic of linear algebraic groups over 2-dimensional geometric fields. Zbl 1129.11014 Colliot-Thélène, J.-L.; Gille, P.; Parimala, R. 37 2004 Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties. Zbl 0805.14010 Colliot-Thélène, Jean-Louis; Swinnerton-Dyer, Peter 36 1994 Flasque resolutions of linear connected groups. (Résolutions flasques des groupes linéaires connexes.) Zbl 1158.14021 Colliot-Thélène, Jean-Louis 34 2008 L’équivalence rationnelle sur les points fermes des surfaces rationnelles fibrees en coniques. Zbl 0386.14003 Colliot-Thelene, Jean-Louis; Coray, Daniel 31 1979 \(K_2\)-cohomology and the second Chow group. Zbl 0536.14004 Colliot-Thélène, Jean-Louis; Raskind, Wayne 30 1985 Equivariant compactification of a torus (after Brylinski and Künnemann). Zbl 1078.14076 Colliot-Théléne, J.-L.; Harari, D.; Skorobogatov, A. N. 28 2005 The arithmetic of the Chow group of zero-cycles. (L’arithmétique du groupe de Chow des zéro-cycles.) Zbl 0870.14002 Colliot-Thélène, Jean-Louis 26 1995 Descente et principe de Hasse pour certaines variétés rationnelles. Zbl 0434.14019 Colliot-Thelene, Jean-Louis; Coray, Daniel; Sansuc, Jean-Jacques 26 1980 Rational points on fibrations. (Points rationnels sur les fibrations.) Zbl 1077.14029 Colliot-Thélène, Jean-Louis 26 2003 Double fibres and double covers: Paucity of rational points. Zbl 0863.14011 Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter 24 1997 Random Diophantine equations. With appendices by Jean-Louis Colliot-Thélène and Nicholas M. Katz. Zbl 1208.11050 Poonen, Bjorn; Voloch, José Felipe 24 2004 Universal unramified cohomology of cubic fourfolds containing a plane. Zbl 1426.14005 Auel, Asher; Colliot-Thélène, Jean-Louis; Parimala, Raman 24 2017 Rational connectedness and Galois covers of the projective line. Zbl 0990.12003 Colliot-Thélène, Jean-Louis 22 2000 Rational points and zero-cycles on fibred varieties: Schinzel’s hypothesis and Salberger’s device. Zbl 0883.11029 Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter 21 1998 Real components of algebraic varieties and étale cohomology. Zbl 0726.14013 Colliot-Thélène, J.-L.; Parimala, R. 21 1990 Quadratic forms over fraction fields of two-dimensional Henselian rings and Brauer groups of related schemes. Zbl 1055.14019 Colliot-Thélène, J.-L.; Ojanguren, M.; Parimala, R. 21 2002 Arithmétique des surfaces cubiques diagonales. (Arithmetic of diagonal cubic surfaces). Zbl 0639.14018 Colliot-Thélène, Jean-Louis; Kanevsky, Dimitri; Sansuc, Jean-Jacques 20 1987 A finiteness theorem for the Chow group of zero-cycles of a linear algebraic group on a \(p\)-adic field. (Un théorème de finitude pour le groupe de Chow des zéro-cycles d’un groupe algébrique linéaire sur un corps \(p\)-adique.) Zbl 1080.14012 Colliot-Thélène, Jean-Louis 20 2005 Algebraic families of nonzero elements of Shafarevich-Tate groups. Zbl 0951.11022 Colliot-Thélène, Jean-Louis; Poonen, Bjorn 19 2000 Torsion algebraic cycles and algebraic \(K\)-theory. (Cycles algébriques de torsion et \(K\)-théorie algébrique.) Zbl 0806.14002 Colliot-Thélène, Jean-Louis 19 1993 The elementary obstruction and homogeneous spaces. Zbl 1135.14013 Borovoi, M.; Colliot-Thélène, J.-L.; Skorobogatov, A. N. 18 2008 Brauer group and integral points of two families of affine cubic surfaces. (Groupe de Brauer et points entiers de deux familles de surfaces cubiques affines.) Zbl 1295.14020 Colliot-Thélène, Jean-Louis; Wittenberg, Olivier 18 2012 Groupe de Chow de codimension deux des variétés définies sur un corps de nombres: Un théorème de finitude pour la torsion. (The codimension two Chow group of varieties defined over a number field: A finiteness theorem for the torsion). Zbl 0752.14004 Colliot-Thélène, Jean-Louis; Raskind, Wayne 18 1991 Torseurs sous des groupes de type multiplicatif; applications à l’étude des points rationnels de certaines variétés algébriques. Zbl 0337.14014 Sansuc, Jean-Jacques; Colliot-Thelene, Jean-Louis 17 1976 Hasse principle for pencils of curves of genus one whose Jacobians have rational 2-division points. Zbl 0924.14011 Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter 17 1998 Exponent and index of nonramified central simple algebras (with an appendix by Ofer Gabber). (Exposant et indice d’algèbres simples centrales non ramifiées (avec un appendice par Ofer Gabber).) Zbl 1047.16007 Colliot-Thélène, Jean-Louis 17 2002 Zero cycles on \(p\)-adic varieties and Brauer group. (Zéro-cycles sur les variétés \(p\)-adiques et groupe de Brauer.) Zbl 0878.14006 Colliot-Thélène, Jean-Louis; Saito, Shuji 16 1996 Local-global type conjectures on the image of Chow groups in étale cohomology. (Conjectures de type local-global sur l’image des groupes de Chow dans la cohomologie étale.) Zbl 0981.14003 Colliot-Thélène, Jean-Louis 16 1999 Values of a polynomial of one variable represented by a norm. (Valeurs d’un polynôme à une variable représentées par une norme.) Zbl 1087.14016 Colliot-Thélène, J.-L.; Harari, D.; Skorobogatov, A. N. 16 2003 Chow groups of zero cycles on pencils of quadrics. (Groupe de Chow des zéro-cycles sur les fibrés en quadriques.) Zbl 0837.14002 Colliot-Thélène, Jean-Louis; Skorobogatov, Alexei N. 16 1993 Galois descent on the Brauer group. (Descente galoisienne sur le groupe de Brauer.) Zbl 1317.14042 Colliot-Thélène, Jean-Louis; Skorobogatov, Alexei N. 16 2013 Arithmetic on some singular cubic hypersurfaces. Zbl 0638.14011 Colliot-Thélène, Jean-Louis; Salberger, Per 15 1989 Duality and local-global principle for tori on a curve over \(\mathbb{C}((t))\). (Dualité et principe local-global pour les tores sur une courbe au-dessus de \(\mathbb{C}((t))\).) Zbl 1391.11070 Colliot-Thélène, Jean-Louis; Harari, David 15 2015 Strong approximation for the total space of certain quadric fibrations. Zbl 1328.11060 Colliot-Thélène, Jean-Louis; Xu, Fei 15 2013 Good reduction of the Brauer-Manin obstruction. Zbl 1317.14046 Colliot-Thélène, Jean-Louis; Skorobogatov, Alexei N. 15 2013 La descente sur une variété rationnelle definie sur un corps de nombres. Zbl 0349.14015 Colliot-Thelene, Jean-Louis; Sansuc, Jean-Jacques 14 1977 Zero-cycles and cohomology on real algebraic varieties. Zbl 0882.14016 Colliot-Thélène, J.-L.; Scheiderer, C. 13 1996 Del Pezzo surfaces without rational points on a field of cohomological dimension one. (Surfaces de del Pezzo sans point rationnel sur un corps de dimension cohomologique un.) Zbl 1056.14030 Colliot-Thélène, Jean-Louis; Madore, David A. 13 2004 Sur le principe de Hasse et l’approximation faible, et sur une hypothèse de Schinzel. Zbl 0414.10009 Colliot-Thelene, Jean-Louis; Sansuc, Jean-Jacques 13 1982 The arithmetic of rational varieties. (L’arithmétique des variétés rationnelles.) Zbl 0787.14012 Colliot-Thélène, Jean-Louis 13 1992 Cyclic covers that are not stably rational. Zbl 1375.14053 Colliot-Thélène, Jean-Louis; Pirutka, Alena V. 13 2016 Cycles of codimension 2 and unramified \(H^3\) for varieties over finite fields. (Cycles de codimension 2 et \(H^3\) non ramifié pour les variétés sur les corps finis.) Zbl 1263.19004 Colliot-Thélène, Jean-Louis; Kahn, Bruno 13 2013 Picard group and Brauer group of smooth compactifications of homogeneous spaces. (Groupe de Picard et groupe de Brauer des compactifications lisses d’espaces homogènes.) Zbl 1203.11035 Colliot-Thélène, Jean-Louis; Kunyavskiĭ, Boris È. 12 2006 Descent on fibrations over P\(^1_k\) revisited. Zbl 1024.14003 Colliot-Thélène, J.-L.; Skorobogatov, A. N. 12 2000 L’équivalence rationnelle sur les cycles de dimension zéro des variétés algébriques réelles. Zbl 0472.14016 Colliot-Thelene, Jean-Louis; Ischebeck, Friedrich 12 1981 Pathologies of the Brauer-Manin obstruction. Zbl 1365.14025 Colliot-Thélène, Jean-Louis; Pál, Ambrus; Skorobogatov, Alexei N. 12 2016 Unramified Brauer group of homogeneous spaces of tori. (Groupe de Brauer non ramifié d’espaces homogènes de tores.) Zbl 1318.14019 Colliot-Thélène, Jean-Louis 12 2014 Nearly rational varieties, their rational points and their degeneracies. (Variétés presque rationnelles, leurs points rationnels et leurs dégénérescences.) Zbl 1231.14015 Colliot-Thélène, Jean-Louis 11 2011 Unramified Witt groups of real anisotropic quadrics. Zbl 0827.11022 Colliot-Thélène, J.-L.; Sujatha, R. 11 1995 Surfaces rationnelles fibrées en coniques de degré 4. (Rational surfaces fibered in conics of degree 4). Zbl 0731.14033 Colliot-Thélène, Jean-Louis 11 1990 Formes quadratiques sur les anneaux semi-locaux réguliers. Zbl 0407.10018 Colliot-Thélène, Jean-Louis 11 1979 Variétés de premiere descente attachees aux variétés rationnelles. Zbl 0349.14026 Colliot-Thelene, Jean-Louis; Sansuc, Jean-Jacques 10 1977 Arithmétique des variétés rationelles et problèmes birationnels. (Arithmetic of rational varieties and birational problems). Zbl 0698.14060 Colliot-Thélène, Jean-Louis 10 1987 Sommes de carrés dans les corps de fonctions. (Sums of squares in function fields). Zbl 0743.11020 Colliot-Thélène, Jean-Louis; Jannsen, Uwe 10 1991 Birational geometry and localisation of categories (with appendices by Jean-Louis Colliot-Thélène and Ofer Gabber). Zbl 1349.14052 Kahn, Bruno; Sujatha, R. 10 2015 Linear groups on the function fields of real curves. (Groupes linéaires sur les corps de fonctions de courbes réelles.) Zbl 0847.11017 Colliot-Thélène, Jean Louis 9 1996 Remarks on weak approximation over a function field of one variable. (Remarques sur l’approximation faible sur un corps de fonctions d’une variable.) Zbl 1201.11066 Colliot-Thélène, Jean-Louis; Gille, Philippe 9 2004 Cohomologie des groupes de type multiplicatif sur les schemas réguliers. Zbl 0399.14011 Colliot-Thelene, Jean-Louis; Sansuc, Jean-Jacques 9 1978 Strong approximation in families. (Approximation forte en famille.) Zbl 1334.14014 Colliot-Thélène, Jean-Louis; Harari, David 9 2016 Higher reciprocity laws and rational points. (Lois de réciprocité supérieures et points rationnels.) Zbl 1360.11068 Colliot-Thélène, J.-L.; Parimala, R.; Suresh, V. 9 2016 Rational surfaces and the canonical dimension of \(\mathrm{PGL}_6\). Zbl 1206.14070 Colliot-Thélène, J.-L.; Karpenko, N. A.; Merkur’ev, A. S. 8 2008 Is the function field of a reductive Lie algebra purely transcendental over the field of invariants for the adjoint action? Zbl 1218.14010 Colliot-Thélène, Jean-Louis; Kunyavskiĭ, Boris; Popov, Vladimir L.; Reichstein, Zinovy 8 2011 Local-global principle for the zero-cycles on ruled surfaces. (Principe local-global pour les zéro-cycles sur les surfaces réglées.) Zbl 0972.14001 Colliot-Thélène, Jean-Louis 8 2000 Galois cohomology of Henselian discrete valuation fields, after K. Kato and S. Bloch. (Cohomologie galoisienne des corps valués discrets henseliens, d’après K. Kato et S. Bloch.) Zbl 0976.11053 Colliot-Thélène, Jean-Louis 8 1999 Non-ramified Brauer group of principal homogeneous spaces of linear groups. (Groupe de Brauer non ramifié des espaces principaux homogènes de groupes linéaires.) Zbl 0929.14008 Colliot-Thélène, J.-L.; Kunyavskiĭ, B. È. 8 1998 The Hasse principle in a pencil of algebraic varieties. Zbl 0910.14008 Colliot-Thélène, J.-L. 8 1998 Formes quadratiques multiplicatives et variétés algébriques. Zbl 0386.14012 Colliot-Thélène, Jean-Louis 8 1978 On the Tate conjecture on \(\mathbb Z_\ell\) coefficients for varieties over finite fields. (Autour de la conjecture de Tate à coefficients \(\mathbb Z_\ell\) pour les variétés sur les corps finis.) Zbl 1316.14009 Colliot-Thélène, Jean-Louis; Szamuely, Tamás 8 2010 Central simple algebras over function fields in two variables (after A. J. de Jong). (Algèbres simples centrales sur les corps de fonctions de deux variables [d’après A. J. de Jong].) Zbl 1123.14012 Colliot-Thélène, Jean-Louis 7 2006 On the reciprocity law for surfaces over finite fields. Zbl 0595.14015 Colliot-Thélène, Jean-Louis; Raskind, Wayne 7 1986 The Noether-Lefschetz theorem and sums of 4 squares in the rational function field \(\mathbb{R}(x,y)\). Zbl 0774.12002 Colliot-Thélène, J.-L. 6 1993 À propos d’une conjecture arithmétique sur le groupe de Chow d’une surface rationnelle. (Avec un paragraphe par Jean-Louis Colliot-Thélène). Zbl 0538.14002 Sansuc, Jean-Jacques 6 1982 La descente sur les surfaces rationnelles fibrées en coniques. (Descent on rational surfaces fibered in conics). Zbl 0596.14016 Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques 6 1986 Galois descent on the second Chow group: development and applications. (Descente galoisienne sur le second groupe de Chow: mise au point et applications.) Zbl 1352.14005 Colliot-Thélène, Jean-Louis 6 2015 Chow group of zero-cycles on \(p\)-adic varieties (after S. Saito, K. Sato et al.). (Groupe de Chow des zéro-cycles sur les variétés \(p\)-adiques (d’après S. Saito, K. Sato et al.).) Zbl 1364.14004 Colliot-Thélène, Jean-Louis 6 2011 Zero-cycles of degree 1 on Poonen threefolds. (Zéro-cycles de degré 1 sur les solides de Poonen.) Zbl 1205.11075 Colliot-Thélène, Jean-Louis 6 2010 Rational points on cubic hypersurfaces that split off a form. Zbl 1198.14021 Browning, T. D.; Colliot-Thélène, J.-L. 6 2010 Local-global principles for constant reductive groups over semi-global fields. Zbl 1502.14059 Colliot-Thélène, Jean-Louis; Harbater, David; Hartmann, Julia; Krashen, Daniel; Parimala, R.; Suresh, V. 1 2022 The Brauer-Grothendieck group. Zbl 1490.14001 Colliot-Thélène, Jean-Louis; Skorobogatov, Alexei N. 42 2021 Rationality of complete intersections of two quadrics over nonclosed fields. Zbl 1495.14024 Hassett, Brendan; Tschinkel, Yuri; Colliot-Thélène, Jean-Louis 3 2021 Brauer-Manin obstruction for Markoff surfaces. Zbl 1478.11091 Colliot-Thélène, Jean-Louis; Wei, Dasheng; Xu, Fei 5 2020 Local-global principles for tori over arithmetic curves. Zbl 1468.11097 Colliot-Thélène, Jean-Louis; Harbater, David; Hartmann, Julia; Krashen, Daniel; Parimala, Raman; Suresh, Venapally 4 2020 Zero-cycles on del Pezzo surfaces. Variations on a theme by Daniel Coray. (Zéro-cycles sur les surfaces de Del Pezzo (Variations sur un thème de Daniel Coray).) Zbl 1479.14031 Colliot-Thélène, Jean-Louis 2 2020 Generic point and Mordell-Weil rank jump. (Point générique et saut du rang du groupe de Mordell-Weil.) Zbl 1460.14096 Colliot-Thélène, Jean-Louis 1 2020 Unramified cohomology in a product with an elliptic curve. (Cohomologie non ramifiée dans le produit avec une courbe elliptique.) Zbl 1423.14058 Colliot-Thélène, J.-L. 5 2019 Local-global principles for zero-cycles on homogeneous spaces over arithmetic function fields. Zbl 1440.14035 Colliot-Thélène, J.-L.; Harbater, D.; Hartmann, J.; Krashen, D.; Parimala, R.; Suresh, V. 5 2019 Stable non-rationality on any body. (Non rationalité stable sur les corps quelconques.) Zbl 1442.14049 Colliot-Thélène, Jean-Louis 2 2019 Introduction to work of Hassett-Pirutka-Tschinkel and Schreieder. Zbl 1436.14024 Colliot-Thélène, Jean-Louis 2 2019 Stable nonrationality of cubic hypersurfaces over non-algebraically closed fielfs. (Non rationalité stable d’hypersurfaces cubiques sur des corps non algébriquement clos.) Zbl 1451.14040 Colliot-Thélène, J.-L. 1 2019 The degree three unramified cohomology group of Fano hypersurfaces. (Troisième groupe de cohomologie non ramifiée des hypersurfaces de Fano.) Zbl 1409.14036 Colliot-Thélène, Jean-Louis 1 2019 Strong approximation for semi-simple homogenenous groups over the field of functions of a complex algebraic curve. (Approximation forte pour les espaces homogènes de groupes semi-simples sur le corps des fonctions d’une courbe algébrique complexe.) Zbl 1401.20054 Colliot-Thélène, Jean-Louis 2 2018 Third unramified cohomology group of a cubic threefold over a function field in one variable. (Troisième groupe de cohomologie non ramifiée d’un solide cubique sur un corps de fonctions d’une variable.) Zbl 1419.14012 Colliot-Thélène, Jean-Louis; Pirutka, Alena 1 2018 Universal unramified cohomology of cubic fourfolds containing a plane. Zbl 1426.14005 Auel, Asher; Colliot-Thélène, Jean-Louis; Parimala, Raman 24 2017 Universal \(\text{CH}_0\)-triviality of almost diagonal cubic hypersurfaces. (\(\text{CH}_0\)-trivialité universelle d’hypersurfaces cubiques presque diagonales.) Zbl 1401.14074 Colliot-Thélène, Jean-Louis 4 2017 Norms of lines on cubic surfaces. (Normes de droites sur les surfaces cubiques.) Zbl 1402.14028 Colliot-Thélène, J.-L.; Loughran, Daniel 1 2017 Three-dimensional quartic threefolds: stable non-rationality. (Hypersurfaces quartiques de dimension 3: non-rationalité stable.) Zbl 1371.14028 Colliot-Thélène, Jean-Louis; Pirutka, Alena 47 2016 Cyclic covers that are not stably rational. Zbl 1375.14053 Colliot-Thélène, Jean-Louis; Pirutka, Alena V. 13 2016 Pathologies of the Brauer-Manin obstruction. Zbl 1365.14025 Colliot-Thélène, Jean-Louis; Pál, Ambrus; Skorobogatov, Alexei N. 12 2016 Strong approximation in families. (Approximation forte en famille.) Zbl 1334.14014 Colliot-Thélène, Jean-Louis; Harari, David 9 2016 Higher reciprocity laws and rational points. (Lois de réciprocité supérieures et points rationnels.) Zbl 1360.11068 Colliot-Thélène, J.-L.; Parimala, R.; Suresh, V. 9 2016 Duality and local-global principle for tori on a curve over \(\mathbb{C}((t))\). (Dualité et principe local-global pour les tores sur une courbe au-dessus de \(\mathbb{C}((t))\).) Zbl 1391.11070 Colliot-Thélène, Jean-Louis; Harari, David 15 2015 Birational geometry and localisation of categories (with appendices by Jean-Louis Colliot-Thélène and Ofer Gabber). Zbl 1349.14052 Kahn, Bruno; Sujatha, R. 10 2015 Galois descent on the second Chow group: development and applications. (Descente galoisienne sur le second groupe de Chow: mise au point et applications.) Zbl 1352.14005 Colliot-Thélène, Jean-Louis 6 2015 Rationality of a tapered fiber. (Rationalité d’un fibré en coniques.) Zbl 1333.14044 Colliot-Thélène, Jean-Louis 5 2015 The complement of \(n\)th powers in a number field is a Diophantine set. (Le complémentaire des puissances \(n\)-ièmes dans un corps de nombres est un ensemble diophantien.) Zbl 1346.14066 Colliot-Thélène, Jean-Louis; van Geel, Jan 3 2015 A calculation of the Brauer group and an arithmetical application. (Un calcul de groupe de Brauer et une application arithmétique.) Zbl 1356.14016 Colliot-Thélène, Jean-Louis 1 2015 Unramified Brauer group of homogeneous spaces of tori. (Groupe de Brauer non ramifié d’espaces homogènes de tores.) Zbl 1318.14019 Colliot-Thélène, Jean-Louis 12 2014 Unramified Brauer group of quotients by a finite group. (Groupe de Brauer non ramifié de quotients par un groupe fini.) Zbl 1351.14010 Colliot-Thélène, J.-L. 5 2014 Galois descent on the Brauer group. (Descente galoisienne sur le groupe de Brauer.) Zbl 1317.14042 Colliot-Thélène, Jean-Louis; Skorobogatov, Alexei N. 16 2013 Strong approximation for the total space of certain quadric fibrations. Zbl 1328.11060 Colliot-Thélène, Jean-Louis; Xu, Fei 15 2013 Good reduction of the Brauer-Manin obstruction. Zbl 1317.14046 Colliot-Thélène, Jean-Louis; Skorobogatov, Alexei N. 15 2013 Cycles of codimension 2 and unramified \(H^3\) for varieties over finite fields. (Cycles de codimension 2 et \(H^3\) non ramifié pour les variétés sur les corps finis.) Zbl 1263.19004 Colliot-Thélène, Jean-Louis; Kahn, Bruno 13 2013 Unramified cohomology and the entire Hodge conjecture. (Cohomologie non ramifiée et conjecture de Hodge entière.) Zbl 1244.14010 Colliot-Thélène, Jean-Louis; Voisin, Claire 50 2012 Patching and local-global principles for homogeneous spaces over function fields of \(p\)-adic curves. Zbl 1332.11065 Colliot-Thélène, Jean-Louis; Parimala, Raman; Suresh, Venapally 41 2012 Brauer group and integral points of two families of affine cubic surfaces. (Groupe de Brauer et points entiers de deux familles de surfaces cubiques affines.) Zbl 1295.14020 Colliot-Thélène, Jean-Louis; Wittenberg, Olivier 18 2012 Some cases of the vanishing of the third unramified cohomology group. (Quelques cas d’annulation du troisième groupe de cohomologie non ramifiée.) Zbl 1254.14010 Colliot-Thélène, Jean-Louis 2 2012 Nearly rational varieties, their rational points and their degeneracies. (Variétés presque rationnelles, leurs points rationnels et leurs dégénérescences.) Zbl 1231.14015 Colliot-Thélène, Jean-Louis 11 2011 Is the function field of a reductive Lie algebra purely transcendental over the field of invariants for the adjoint action? Zbl 1218.14010 Colliot-Thélène, Jean-Louis; Kunyavskiĭ, Boris; Popov, Vladimir L.; Reichstein, Zinovy 8 2011 Chow group of zero-cycles on \(p\)-adic varieties (after S. Saito, K. Sato et al.). (Groupe de Chow des zéro-cycles sur les variétés \(p\)-adiques (d’après S. Saito, K. Sato et al.).) Zbl 1364.14004 Colliot-Thélène, Jean-Louis 6 2011 On the Tate conjecture on \(\mathbb Z_\ell\) coefficients for varieties over finite fields. (Autour de la conjecture de Tate à coefficients \(\mathbb Z_\ell\) pour les variétés sur les corps finis.) Zbl 1316.14009 Colliot-Thélène, Jean-Louis; Szamuely, Tamás 8 2010 Zero-cycles of degree 1 on Poonen threefolds. (Zéro-cycles de degré 1 sur les solides de Poonen.) Zbl 1205.11075 Colliot-Thélène, Jean-Louis 6 2010 Rational points on cubic hypersurfaces that split off a form. Zbl 1198.14021 Browning, T. D.; Colliot-Thélène, J.-L. 6 2010 A version of the Amer-Brumer theorem for zero cycles. (Une version du théorème d’Amer et Brumer pour les zéro-cycles.) Zbl 1217.14006 Colliot-Thélène, Jean-Louis; Levine, Marc 2 2010 Quadratic forms, linear algebraic groups, and cohomology. Based on the conference to celebrate the 60th birthday of Raman Parimala, Hyderabad, India, December 30, 2008–January 4, 2009. Zbl 1197.00053 1 2010 Brauer-Manin obstruction for integral points of homogeneous spaces and representation by integral quadratic forms. With an appendix by Dasheng Wei and Xu. Zbl 1190.11036 Colliot-Thélène, Jean-Louis; Xu, Fei 41 2009 Flasque resolutions of linear connected groups. (Résolutions flasques des groupes linéaires connexes.) Zbl 1158.14021 Colliot-Thélène, Jean-Louis 34 2008 The elementary obstruction and homogeneous spaces. Zbl 1135.14013 Borovoi, M.; Colliot-Thélène, J.-L.; Skorobogatov, A. N. 18 2008 Rational surfaces and the canonical dimension of \(\mathrm{PGL}_6\). Zbl 1206.14070 Colliot-Thélène, J.-L.; Karpenko, N. A.; Merkur’ev, A. S. 8 2008 Special fibre of low degree hypersurfaces. (Fibre spéciale des hypersurfaces de petit degré.) Zbl 1129.14059 Colliot-Thélène, Jean-Louis 2 2008 The rationality problem for fields of invariants under linear algebraic groups (with special regards to the Brauer group). Zbl 1147.13002 Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques 52 2007 Weak approximation for algebraic tori quite fails. (Quelques questions d’approximation faible pour les tores algébriques.) Zbl 1125.20035 Colliot-Thélène, Jean-Louis; Suresh, Venapally 5 2007 Picard group and Brauer group of smooth compactifications of homogeneous spaces. (Groupe de Picard et groupe de Brauer des compactifications lisses d’espaces homogènes.) Zbl 1203.11035 Colliot-Thélène, Jean-Louis; Kunyavskiĭ, Boris È. 12 2006 Central simple algebras over function fields in two variables (after A. J. de Jong). (Algèbres simples centrales sur les corps de fonctions de deux variables [d’après A. J. de Jong].) Zbl 1123.14012 Colliot-Thélène, Jean-Louis 7 2006 Equivariant compactification of a torus (after Brylinski and Künnemann). Zbl 1078.14076 Colliot-Théléne, J.-L.; Harari, D.; Skorobogatov, A. N. 28 2005 A finiteness theorem for the Chow group of zero-cycles of a linear algebraic group on a \(p\)-adic field. (Un théorème de finitude pour le groupe de Chow des zéro-cycles d’un groupe algébrique linéaire sur un corps \(p\)-adique.) Zbl 1080.14012 Colliot-Thélène, Jean-Louis 20 2005 Fields of cohomological dimension 1 versus \(C_1\)-fields. Zbl 1090.12002 Colliot-Thélène, J.-L. 3 2005 A remark on a theorem E. Becker and D. Gondard. (Eine Bemerkung zu einem Satz von E. Becker und D. Gondard.) Zbl 1068.14063 Colliot-Thélène, J.-L. 1 2005 Arithmetic of linear algebraic groups over 2-dimensional geometric fields. Zbl 1129.11014 Colliot-Thélène, J.-L.; Gille, P.; Parimala, R. 37 2004 Random Diophantine equations. With appendices by Jean-Louis Colliot-Thélène and Nicholas M. Katz. Zbl 1208.11050 Poonen, Bjorn; Voloch, José Felipe 24 2004 Del Pezzo surfaces without rational points on a field of cohomological dimension one. (Surfaces de del Pezzo sans point rationnel sur un corps de dimension cohomologique un.) Zbl 1056.14030 Colliot-Thélène, Jean-Louis; Madore, David A. 13 2004 Remarks on weak approximation over a function field of one variable. (Remarques sur l’approximation faible sur un corps de fonctions d’une variable.) Zbl 1201.11066 Colliot-Thélène, Jean-Louis; Gille, Philippe 9 2004 Flasque resolutions for connected reductive algebraic groups. (Résolutions flasques des groupes réductifs connexes.) Zbl 1076.20034 Colliot-Thélène, Jean-Louis 3 2004 Rational points on fibrations. (Points rationnels sur les fibrations.) Zbl 1077.14029 Colliot-Thélène, Jean-Louis 26 2003 Values of a polynomial of one variable represented by a norm. (Valeurs d’un polynôme à une variable représentées par une norme.) Zbl 1087.14016 Colliot-Thélène, J.-L.; Harari, D.; Skorobogatov, A. N. 16 2003 The density of rational points on curves and surfaces. (With an appendix by J.-L. Colliot-Thélène). Zbl 1039.11044 Heath-Brown, D. R. 85 2002 Quadratic forms over fraction fields of two-dimensional Henselian rings and Brauer groups of related schemes. Zbl 1055.14019 Colliot-Thélène, J.-L.; Ojanguren, M.; Parimala, R. 21 2002 Exponent and index of nonramified central simple algebras (with an appendix by Ofer Gabber). (Exposant et indice d’algèbres simples centrales non ramifiées (avec un appendice par Ofer Gabber).) Zbl 1047.16007 Colliot-Thélène, Jean-Louis 17 2002 Arithmetic of linear algebraic groups over certain fields of dimension two. (Arithmétique des groupes algébriques linéaires sur certains corps géométriques de dimension deux.) Zbl 1037.20050 Colliot-Thélène, Jean-Louis; Gille, Philippe; Parimala, Raman 3 2001 Hasse principle for pencils of curves of genus one whose Jacobians have a rational 2-division point (close variation on a paper of Bender and Swinnerton-Dyer). Zbl 1079.14510 Colliot-Thélène, Jean-Louis 3 2001 Rational connectedness and Galois covers of the projective line. Zbl 0990.12003 Colliot-Thélène, Jean-Louis 22 2000 Algebraic families of nonzero elements of Shafarevich-Tate groups. Zbl 0951.11022 Colliot-Thélène, Jean-Louis; Poonen, Bjorn 19 2000 Descent on fibrations over P\(^1_k\) revisited. Zbl 1024.14003 Colliot-Thélène, J.-L.; Skorobogatov, A. N. 12 2000 Local-global principle for the zero-cycles on ruled surfaces. (Principe local-global pour les zéro-cycles sur les surfaces réglées.) Zbl 0972.14001 Colliot-Thélène, Jean-Louis 8 2000 Local-global type conjectures on the image of Chow groups in étale cohomology. (Conjectures de type local-global sur l’image des groupes de Chow dans la cohomologie étale.) Zbl 0981.14003 Colliot-Thélène, Jean-Louis 16 1999 Galois cohomology of Henselian discrete valuation fields, after K. Kato and S. Bloch. (Cohomologie galoisienne des corps valués discrets henseliens, d’après K. Kato et S. Bloch.) Zbl 0976.11053 Colliot-Thélène, Jean-Louis 8 1999 Rational points and zero-cycles on fibred varieties: Schinzel’s hypothesis and Salberger’s device. Zbl 0883.11029 Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter 21 1998 Hasse principle for pencils of curves of genus one whose Jacobians have rational 2-division points. Zbl 0924.14011 Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter 17 1998 Non-ramified Brauer group of principal homogeneous spaces of linear groups. (Groupe de Brauer non ramifié des espaces principaux homogènes de groupes linéaires.) Zbl 0929.14008 Colliot-Thélène, J.-L.; Kunyavskiĭ, B. È. 8 1998 The Hasse principle in a pencil of algebraic varieties. Zbl 0910.14008 Colliot-Thélène, J.-L. 8 1998 The Bloch-Ogus-Gabber theorem. Zbl 0911.14004 Colliot-Thélène, Jean Louis; Hoobler, Raymond T.; Kahn, Bruno 62 1997 Double fibres and double covers: Paucity of rational points. Zbl 0863.14011 Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter 24 1997 Zero cycles on \(p\)-adic varieties and Brauer group. (Zéro-cycles sur les variétés \(p\)-adiques et groupe de Brauer.) Zbl 0878.14006 Colliot-Thélène, Jean-Louis; Saito, Shuji 16 1996 Zero-cycles and cohomology on real algebraic varieties. Zbl 0882.14016 Colliot-Thélène, J.-L.; Scheiderer, C. 13 1996 Linear groups on the function fields of real curves. (Groupes linéaires sur les corps de fonctions de courbes réelles.) Zbl 0847.11017 Colliot-Thélène, Jean Louis 9 1996 Multiplicative groups of fields modulo products of subfields. Zbl 0846.12003 Colliot-Thélène, J.-L.; Guralnick, R. M.; Wiegand, R. 5 1996 Some finiteness results for the group \(SK_1\) of a biquaternion algebra. (Quelques résultats de finitude pour le groupe \(SK_1\) d’une algèbre de biquaternions.) Zbl 0892.16011 Colliot-Thélène, Jean-Louis 3 1996 Hasse principle for Witt groups of function fields with special reference to elliptic curves. (Appendix by J.-L. Colliot-Thélène). Zbl 0876.11018 Parimala, R.; Sujatha, R. 1 1996 Birational invariants, purity and the Gersten conjecture. Zbl 0834.14009 Colliot-Thélène, J.-L. 78 1995 The arithmetic of the Chow group of zero-cycles. (L’arithmétique du groupe de Chow des zéro-cycles.) Zbl 0870.14002 Colliot-Thélène, Jean-Louis 26 1995 Unramified Witt groups of real anisotropic quadrics. Zbl 0827.11022 Colliot-Thélène, J.-L.; Sujatha, R. 11 1995 Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties. Zbl 0805.14010 Colliot-Thélène, Jean-Louis; Swinnerton-Dyer, Peter 36 1994 Torsion algebraic cycles and algebraic \(K\)-theory. (Cycles algébriques de torsion et \(K\)-théorie algébrique.) Zbl 0806.14002 Colliot-Thélène, Jean-Louis 19 1993 Chow groups of zero cycles on pencils of quadrics. (Groupe de Chow des zéro-cycles sur les fibrés en quadriques.) Zbl 0837.14002 Colliot-Thélène, Jean-Louis; Skorobogatov, Alexei N. 16 1993 The Noether-Lefschetz theorem and sums of 4 squares in the rational function field \(\mathbb{R}(x,y)\). Zbl 0774.12002 Colliot-Thélène, J.-L. 6 1993 On the reciprocity sequence in the higher class field theory of function fields. Zbl 0885.19002 Colliot-Thélène, J.-L. 5 1993 Witt groups vis-à-vis Chow groups. (With an appendix by J. L. Colliot- Thélène). Zbl 0836.14003 Parimala, R. 1 1993 Locally trivial principal homogeneous spaces. (Espaces principaux homogènes localement triviaux.) Zbl 0795.14029 Colliot-Thélène, Jean-Louis; Ojanguren, Manuel 42 1992 ...and 49 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 769 Authors 62 Colliot-Thélène, Jean-Louis 25 Parimala, Raman 25 Skorobogatov, Alexei Nikolaïevitch 20 Tschinkel, Yuri 18 Kahn, Bruno 18 Suresh, Venapally 17 Gille, Philippe 16 Panin, Ivan A. 16 Wittenberg, Olivier 15 Harari, David 15 Hoshi, Akinari 15 Nguyễn Quôc Thăng 14 Borovoi, Mikhail V. 14 Browning, Timothy Daniel 13 Merkur’ev, Aleksandr Sergeevich 13 Yamasaki, Aiichi 12 Chernousov, Vladimir I. 12 Harbater, David 12 Kang, Ming-Chang 12 Wei, Dasheng 11 Izquierdo, Diego 11 Krashen, Daniel 11 Loughran, Daniel 11 Reichstein, Zinovy B. 10 Gonzalez-Avilés, Cristian D. 10 Hassett, Brendan 10 Lucchini Arteche, Giancarlo 10 Rapinchuk, Andrei S. 10 Saito, Shuji 10 Shlapentokh, Alexandra 9 Beneish, Esther 9 Benoist, Olivier 9 Bright, Martin 9 Demarche, Cyril 9 Harpaz, Yonatan 9 Pianzola, Arturo 9 Rapinchuk, Igor A. 9 Scavia, Federico 9 Xu, Fei 8 Auel, Asher Natan 8 Böhning, Christian 8 Derenthal, Ulrich 8 Kresch, Andrew 8 Kunyavskiĭ, Boris Èmmanuilovich 8 Liang, Yongqi 8 Peyre, Emmanuel 8 Pirutka, Alena 8 Ramdorai, Sujatha 8 Várilly-Alvarado, Anthony 8 Viray, Bianca 7 Asok, Aravind 7 Cao, Yang 7 de la Bretèche, Régis 7 Fasel, Jean 7 Hartmann, Julia 7 Jahnel, Jörg 7 Raskind, Wayne 7 Schindler, Damaris 7 Stavrova, Anastasia K. 7 Totaro, Burt 7 Voisin, Claire 6 Creutz, Brendan 6 Geisser, Thomas H. 6 Gille, Stefan G. 6 Graf von Bothmer, Hans-Christian 6 Ieronymou, Evis 6 Kisin, Mark 6 Mahé, Louis 6 Poonen, Bjorn 6 Prokhorov, Yuriĭ Gennad’evich 6 Saltman, David J. 6 Sansuc, Jean-Jacques 6 Sato, Kanetomo 6 Schreieder, Stefan 6 Yamazaki, Takao 6 Yanchevskii, Vyacheslav Ivanovich 5 Bayer-Fluckiger, Eva 5 Becher, Karim Johannes 5 Coombes, Kevin R. 5 Gazaki, Evangelia 5 Gros, Michel 5 Heath-Brown, Roger 5 Hogadi, Amit 5 Kerz, Moritz C. 5 Nakahara, Masahiro 5 Ottem, John Christian 5 Schoen, Chad 5 Szamuely, Tamás 5 Tignol, Jean-Pierre 4 Barbieri Viale, Luca 4 Brussel, Eric S. 4 Dèbes, Pierre 4 Destagnol, Kevin 4 Douai, Jean-Claude 4 Duncan, Alexander 4 Elsenhans, Andreas-Stephan 4 Esnault, Hélène 4 First, Uriya A. 4 Hu, Yong 4 Kanel’-Belov, Alekseĭ Yakovlevich ...and 669 more Authors all top 5 Cited in 149 Serials 90 Journal of Algebra 52 Duke Mathematical Journal 46 Journal of Number Theory 46 Mathematische Annalen 44 Transactions of the American Mathematical Society 43 Advances in Mathematics 42 Compositio Mathematica 38 Inventiones Mathematicae 38 Journal of Pure and Applied Algebra 36 Manuscripta Mathematica 29 Mathematische Zeitschrift 24 Journal für die Reine und Angewandte Mathematik 22 Comptes Rendus. Mathématique. Académie des Sciences, Paris 21 Communications in Algebra 21 Annales de l’Institut Fourier 21 Journal de Théorie des Nombres de Bordeaux 17 Algebra & Number Theory 16 Israel Journal of Mathematics 16 Proceedings of the American Mathematical Society 16 Journal of Algebraic Geometry 16 Journal of the Institute of Mathematics of Jussieu 15 Mathematical Proceedings of the Cambridge Philosophical Society 15 Journal of the American Mathematical Society 15 European Journal of Mathematics 14 Bulletin de la Société Mathématique de France 13 International Journal of Number Theory 13 Forum of Mathematics, Sigma 12 Annals of Mathematics. Second Series 11 \(K\)-Theory 11 Documenta Mathematica 10 Journal of Mathematical Sciences (New York) 9 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 9 Bulletin of the London Mathematical Society 9 Publications Mathématiques 9 Journal of the London Mathematical Society. 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Series B 2 Bollettino dell’Unione Matematica Italiana 2 Tunisian Journal of Mathematics 2 Annales Henri Lebesgue 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Geometry and Physics 1 Beiträge zur Algebra und Geometrie ...and 49 more Serials all top 5 Cited in 31 Fields 966 Algebraic geometry (14-XX) 542 Number theory (11-XX) 188 Group theory and generalizations (20-XX) 151 Field theory and polynomials (12-XX) 105 \(K\)-theory (19-XX) 96 Commutative algebra (13-XX) 76 Associative rings and algebras (16-XX) 29 Algebraic topology (55-XX) 27 Nonassociative rings and algebras (17-XX) 26 Category theory; homological algebra (18-XX) 15 Mathematical logic and foundations (03-XX) 10 General and overarching topics; collections (00-XX) 9 Several complex variables and analytic spaces (32-XX) 8 Manifolds and cell complexes (57-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Topological groups, Lie groups (22-XX) 4 Differential geometry (53-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Geometry (51-XX) 3 Numerical analysis (65-XX) 3 Computer science (68-XX) 2 Combinatorics (05-XX) 2 Ordinary differential equations (34-XX) 2 General topology (54-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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