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## Totaro, Burt

Compute Distance To:
 Author ID: totaro.burt Published as: Totaro, Burt; Totaro, B. External Links: MGP · Wikidata · GND
 Documents Indexed: 58 Publications since 1990, including 1 Book

#### Co-Authors

 56 single-authored 1 Brunebarbe, Yohan 1 Eisenbud, David 1 Klingler, Bruno 1 Reeves, Alyson A
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#### Serials

 7 Duke Mathematical Journal 4 Forum of Mathematics, Sigma 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 International Journal of Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 Journal of Algebraic Geometry 2 Journal für die Reine und Angewandte Mathematik 2 Transactions of the American Mathematical Society 2 Journal of the American Mathematical Society 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 Journal of the Institute of Mathematics of Jussieu 1 Advances in Mathematics 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin de la Société Mathématique de France 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Publications Mathématiques 1 Journal of Algebra 1 Journal of Differential Geometry 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Topology 1 $$K$$-Theory 1 IMRN. International Mathematics Research Notices 1 Mathematical Research Letters 1 Geometry & Topology 1 Cambridge Tracts in Mathematics
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#### Fields

 44 Algebraic geometry (14-XX) 11 Number theory (11-XX) 11 Algebraic topology (55-XX) 9 Group theory and generalizations (20-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Manifolds and cell complexes (57-XX) 5 Differential geometry (53-XX) 4 Category theory; homological algebra (18-XX) 3 $$K$$-theory (19-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Commutative algebra (13-XX) 2 Topological groups, Lie groups (22-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX)

#### Citations contained in zbMATH Open

55 Publications have been cited 684 times in 620 Documents Cited by Year
The Chow ring of a classifying space. Zbl 0967.14005
Totaro, Burt
1999
Configuration spaces of algebraic varieties. Zbl 0857.57025
Totaro, Burt
1996
Initial ideals, Veronese subrings, and rates of algebras. Zbl 0839.13013
Eisenbud, David; Reeves, Alyson; Totaro, Burt
1994
The resolution property for schemes and stacks. Zbl 1077.14004
Totaro, Burt
2004
Chow groups, Chow cohomology, and linear varieties. Zbl 1329.14018
Totaro, Burt
2014
Milnor $$K$$-theory is the simplest part of algebraic $$K$$-theory. Zbl 0776.19003
Totaro, Burt
1992
Hypersurfaces that are not stably rational. Zbl 1376.14017
Totaro, Burt
2016
Torsion algebraic cycles and complex cobordism. Zbl 0989.14001
Totaro, Burt
1997
Cheeger manifolds and the classification of biquotients. Zbl 1071.53529
Totaro, Burt
2002
The torsion index of the spin groups. Zbl 1094.57031
Totaro, Burt
2005
Line bundles with partially vanishing cohomology. Zbl 1277.14007
Totaro, Burt
2013
Chern numbers for singular varieties and elliptic homology. Zbl 1050.14500
Totaro, Burt
2000
The motive of a classifying space. Zbl 1375.14027
Totaro, Burt
2016
Projective resolutions of representations of $$\text{GL}(n)$$. Zbl 0859.20034
Totaro, Burt
1997
Tensor products in $$p$$-adic Hodge theory. Zbl 0873.14019
Totaro, Burt
1996
Hilbert’s 14th problem over finite fields and a conjecture on the cone of curves. Zbl 1157.13006
Totaro, Burt
2008
The cone conjecture for Calabi-Yau pairs in dimension 2. Zbl 1203.14046
Totaro, Burt
2010
Tensor products of semistables are semistable. Zbl 0873.14016
Totaro, Burt
1994
Moving codimension-one subvarieties over finite fields. Zbl 1200.14022
Totaro, Burt
2009
Birational geometry of quadrics in characteristic 2. Zbl 1144.11031
Totaro, Burt
2008
Complexifications of nonnegatively curved manifolds. Zbl 1040.32006
Totaro, Burt
2003
Non-injectivity of the map from the Witt group of a variety to the Witt group of its function field. Zbl 1038.19004
Totaro, Burt
2003
Topology of singular algebraic varieties. Zbl 1057.14030
Totaro, B.
2002
Symmetric differentials and the fundamental group. Zbl 1296.32003
Brunebarbe, Yohan; Klingler, Bruno; Totaro, Burt
2013
Pseudo-abelian varieties. (Variétés pseudo-abéliennes.) Zbl 1286.14061
Totaro, Burt
2013
On the integral Hodge and Tate conjectures over a number field. Zbl 1279.14012
Totaro, Burt
2013
Jumping of the nef cone for Fano varieties. Zbl 1248.14020
Totaro, Burt
2012
The topology of smooth divisors and the arithmetic of abelian varieties. Zbl 1078.14508
Totaro, Burt
2000
The integral cohomology of the Hilbert scheme of two points. Zbl 1375.14018
Totaro, Burt
2016
Space curves with nonzero torsion. Zbl 0702.53004
Totaro, Burt
1990
Group cohomology and algebraic cycles. Zbl 1386.14088
Totaro, Burt
2014
Curvature, diameter, and quotient manifolds. Zbl 1063.53038
Totaro, Burt
2003
Splitting fields for $$E_8$$-torsors. Zbl 1048.11031
Totaro, Burt
2004
The curvature of a Hessian metric. Zbl 1058.53032
Totaro, Burt
2004
The torsion index of $$E_8$$ and other groups. Zbl 1093.57011
Totaro, Burt
2005
The automorphism group of an affine quadric. Zbl 1124.14040
Totaro, Burt
2007
The failure of Kodaira vanishing for Fano varieties, and terminal singularities that are not Cohen-Macaulay. Zbl 1441.14138
Totaro, Burt
2019
Birational geometry of quadrics. Zbl 1221.14014
Totaro, Burt
2009
Towards a Schubert calculus for complex reflection groups. Zbl 1045.05088
Totaro, Burt
2003
Algebraic surfaces and hyperbolic geometry. Zbl 1253.14040
Totaro, Burt
2012
Recent progress on the Tate conjecture. Zbl 1375.14037
Totaro, Burt
2017
Rationality does not specialise among terminal varieties. Zbl 1371.14020
Totaro, Burt
2016
Complex varieties with infinite Chow groups modulo 2. Zbl 1332.14011
Totaro, Burt
2016
Cohomology of semidirect product groups. Zbl 0862.20038
Totaro, Burt
1996
The total Chern class is not a map of multiplicative cohomology theories. Zbl 0804.55005
Totaro, Burt
1993
The elliptic genus of a singular variety. Zbl 1242.58014
Totaro, Burt
2007
Euler and algebraic geometry. Zbl 1133.14007
Totaro, Burt
2007
Hodge theory of classifying stacks. Zbl 1423.14149
Totaro, Burt
2018
Essential dimension of the spin groups in characteristic 2. Zbl 1446.20073
Totaro, Burt
2019
Affine varieties and Stein manifolds. Zbl 0760.32007
Totaro, Burt
1991
Homology operations on a new infinite loop space. Zbl 0828.55010
Totaro, Burt
1995
Euler characteristics for $$p$$-adic Lie groups. Zbl 0971.22011
Totaro, Burt
1999
The ACC conjecture for log canonical thresholds (after de Fernex, Ein, Mustaţă, Kollár). Zbl 1356.14005
Totaro, Burt
2011
Hodge structures of type ($$n, 0,\ldots, 0, n$$). Zbl 1323.14009
Totaro, Burt
2015
Bott vanishing for algebraic surfaces. Zbl 1437.14028
Totaro, Burt
2020
Bott vanishing for algebraic surfaces. Zbl 1437.14028
Totaro, Burt
2020
The failure of Kodaira vanishing for Fano varieties, and terminal singularities that are not Cohen-Macaulay. Zbl 1441.14138
Totaro, Burt
2019
Essential dimension of the spin groups in characteristic 2. Zbl 1446.20073
Totaro, Burt
2019
Hodge theory of classifying stacks. Zbl 1423.14149
Totaro, Burt
2018
Recent progress on the Tate conjecture. Zbl 1375.14037
Totaro, Burt
2017
Hypersurfaces that are not stably rational. Zbl 1376.14017
Totaro, Burt
2016
The motive of a classifying space. Zbl 1375.14027
Totaro, Burt
2016
The integral cohomology of the Hilbert scheme of two points. Zbl 1375.14018
Totaro, Burt
2016
Rationality does not specialise among terminal varieties. Zbl 1371.14020
Totaro, Burt
2016
Complex varieties with infinite Chow groups modulo 2. Zbl 1332.14011
Totaro, Burt
2016
Hodge structures of type ($$n, 0,\ldots, 0, n$$). Zbl 1323.14009
Totaro, Burt
2015
Chow groups, Chow cohomology, and linear varieties. Zbl 1329.14018
Totaro, Burt
2014
Group cohomology and algebraic cycles. Zbl 1386.14088
Totaro, Burt
2014
Line bundles with partially vanishing cohomology. Zbl 1277.14007
Totaro, Burt
2013
Symmetric differentials and the fundamental group. Zbl 1296.32003
Brunebarbe, Yohan; Klingler, Bruno; Totaro, Burt
2013
Pseudo-abelian varieties. (Variétés pseudo-abéliennes.) Zbl 1286.14061
Totaro, Burt
2013
On the integral Hodge and Tate conjectures over a number field. Zbl 1279.14012
Totaro, Burt
2013
Jumping of the nef cone for Fano varieties. Zbl 1248.14020
Totaro, Burt
2012
Algebraic surfaces and hyperbolic geometry. Zbl 1253.14040
Totaro, Burt
2012
The ACC conjecture for log canonical thresholds (after de Fernex, Ein, Mustaţă, Kollár). Zbl 1356.14005
Totaro, Burt
2011
The cone conjecture for Calabi-Yau pairs in dimension 2. Zbl 1203.14046
Totaro, Burt
2010
Moving codimension-one subvarieties over finite fields. Zbl 1200.14022
Totaro, Burt
2009
Birational geometry of quadrics. Zbl 1221.14014
Totaro, Burt
2009
Hilbert’s 14th problem over finite fields and a conjecture on the cone of curves. Zbl 1157.13006
Totaro, Burt
2008
Birational geometry of quadrics in characteristic 2. Zbl 1144.11031
Totaro, Burt
2008
The automorphism group of an affine quadric. Zbl 1124.14040
Totaro, Burt
2007
The elliptic genus of a singular variety. Zbl 1242.58014
Totaro, Burt
2007
Euler and algebraic geometry. Zbl 1133.14007
Totaro, Burt
2007
The torsion index of the spin groups. Zbl 1094.57031
Totaro, Burt
2005
The torsion index of $$E_8$$ and other groups. Zbl 1093.57011
Totaro, Burt
2005
The resolution property for schemes and stacks. Zbl 1077.14004
Totaro, Burt
2004
Splitting fields for $$E_8$$-torsors. Zbl 1048.11031
Totaro, Burt
2004
The curvature of a Hessian metric. Zbl 1058.53032
Totaro, Burt
2004
Complexifications of nonnegatively curved manifolds. Zbl 1040.32006
Totaro, Burt
2003
Non-injectivity of the map from the Witt group of a variety to the Witt group of its function field. Zbl 1038.19004
Totaro, Burt
2003
Curvature, diameter, and quotient manifolds. Zbl 1063.53038
Totaro, Burt
2003
Towards a Schubert calculus for complex reflection groups. Zbl 1045.05088
Totaro, Burt
2003
Cheeger manifolds and the classification of biquotients. Zbl 1071.53529
Totaro, Burt
2002
Topology of singular algebraic varieties. Zbl 1057.14030
Totaro, B.
2002
Chern numbers for singular varieties and elliptic homology. Zbl 1050.14500
Totaro, Burt
2000
The topology of smooth divisors and the arithmetic of abelian varieties. Zbl 1078.14508
Totaro, Burt
2000
The Chow ring of a classifying space. Zbl 0967.14005
Totaro, Burt
1999
Euler characteristics for $$p$$-adic Lie groups. Zbl 0971.22011
Totaro, Burt
1999
Torsion algebraic cycles and complex cobordism. Zbl 0989.14001
Totaro, Burt
1997
Projective resolutions of representations of $$\text{GL}(n)$$. Zbl 0859.20034
Totaro, Burt
1997
Configuration spaces of algebraic varieties. Zbl 0857.57025
Totaro, Burt
1996
Tensor products in $$p$$-adic Hodge theory. Zbl 0873.14019
Totaro, Burt
1996
Cohomology of semidirect product groups. Zbl 0862.20038
Totaro, Burt
1996
Homology operations on a new infinite loop space. Zbl 0828.55010
Totaro, Burt
1995
Initial ideals, Veronese subrings, and rates of algebras. Zbl 0839.13013
Eisenbud, David; Reeves, Alyson; Totaro, Burt
1994
Tensor products of semistables are semistable. Zbl 0873.14016
Totaro, Burt
1994
The total Chern class is not a map of multiplicative cohomology theories. Zbl 0804.55005
Totaro, Burt
1993
Milnor $$K$$-theory is the simplest part of algebraic $$K$$-theory. Zbl 0776.19003
Totaro, Burt
1992
Affine varieties and Stein manifolds. Zbl 0760.32007
Totaro, Burt
1991
Space curves with nonzero torsion. Zbl 0702.53004
Totaro, Burt
1990
all top 5

#### Cited by 653 Authors

 14 Totaro, Burt 14 Yagita, Nobuaki 8 Ottem, John Christian 7 Krishna, Amalendu 7 Laterveer, Robert 6 Brion, Michel 6 Levine, Marc Noel 6 Merkur’ev, Aleksandr Sergeevich 6 Weber, Andrzej 6 Williams, Ben 6 Zainoulline, Kirill 5 Karpenko, Nikita Aleksandrovich 5 Rydh, David 5 Voisin, Claire 4 Akhtar, Reza 4 Auel, Asher Natan 4 Church, Thomas 4 DeVito, Jason 4 Farber, Michael S. 4 Fasel, Jean 4 Galaz-Garcia, Fernando 4 Halic, Mihai 4 Laghribi, Ahmed 4 Libgober, Anatoly S. 4 McCrory, Clint G. 4 Park, Jinhyun 4 Prendergast-Smith, Artie 4 Quick, Gereon 4 Römer, Tim 4 Schreieder, Stefan 4 Tseng, Hsian-Hua 3 Amann, Manuel 3 Biswas, Indranil 3 Böhning, Christian 3 Choi, Sung Rak 3 Cirici, Joana 3 Conca, Aldo 3 De Negri, Emanuela 3 Edidin, Dan 3 Fang, Ming 3 Farb, Benson 3 Franz, Matthias 3 Hall, Jack 3 Heard, Drew 3 Kameko, Masaki 3 Kennard, Lee 3 Kerin, Martin 3 Kerz, Moritz C. 3 Lesieutre, John 3 Okada, Takuzo 3 Orlik, Sascha 3 Parusiński, Adam 3 Payne, Sam 3 Petersen, Dan 3 Pirisi, Roberto 3 Pirutka, Alena 3 Priziac, Fabien 3 Sam, Steven V. 3 Scavia, Federico 3 Schröer, Stefan 3 Scully, Stephen 3 Searle, Catherine 3 Suciu, Alexander I. 3 Tanaka, Hiromu 3 Tschinkel, Yuri 3 Yang, Xiao-Kui 3 Zhang, Philip B. 3 Zhao, Gufang 3 Zhong, Changlong 2 Achinger, Piotr 2 Alonso Tarrío, Leovigildo M. 2 Anderson, Dave Edward 2 Antieau, Benjamin 2 Anwar, Imran 2 Asok, Aravind 2 Baek, Sanghoon 2 Benoist, Olivier 2 Bernasconi, Fabio 2 Bibby, Christin 2 Bingham, Aram 2 Birkar, Caucher 2 Skovsted Buch, Anders 2 Can, Mahir Bilen 2 Cascini, Paolo 2 Chalupnik, Marcin 2 Chataur, David 2 Chen, Huayi 2 Chen, Lei 2 Cimpoeaş, Mircea 2 Colliot-Thélène, Jean-Louis 2 Crona, Kristina 2 Das, Ronno 2 Devyatov, Rostislav 2 Di Lorenzo, Andrea 2 Durán Fernandez, Carlos Eduardo 2 Ellenberg, Jordan S. 2 Enomoto, Kazuyuki 2 Estrada, Sergio 2 First, Uriya A. 2 Franzen, Hans ...and 553 more Authors
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#### Cited in 130 Serials

 34 Advances in Mathematics 29 Journal of Algebra 26 Mathematische Annalen 26 Mathematische Zeitschrift 25 Duke Mathematical Journal 21 Journal of Pure and Applied Algebra 19 Proceedings of the American Mathematical Society 18 Transactions of the American Mathematical Society 16 Inventiones Mathematicae 16 Journal of Algebraic Geometry 14 Annales de l’Institut Fourier 14 Compositio Mathematica 14 Documenta Mathematica 13 Communications in Algebra 12 Forum of Mathematics, Sigma 11 Manuscripta Mathematica 11 European Journal of Mathematics 10 Transformation Groups 9 Journal of $$K$$-Theory 8 Journal für die Reine und Angewandte Mathematik 8 Geometry & Topology 8 Algebraic & Geometric Topology 7 Journal of Number Theory 7 Michigan Mathematical Journal 7 Journal of the American Mathematical Society 7 Selecta Mathematica. New Series 7 Algebra & Number Theory 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 International Journal of Mathematics 6 Bulletin of the American Mathematical Society. New Series 6 Journal of Algebraic Combinatorics 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Journal of the European Mathematical Society (JEMS) 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal of the Institute of Mathematics of Jussieu 5 Kyoto Journal of Mathematics 4 Geometriae Dedicata 4 Topology and its Applications 4 Advances in Applied Mathematics 4 Linear Algebra and its Applications 4 Journal of Homotopy and Related Structures 4 Research in the Mathematical Sciences 3 Israel Journal of Mathematics 3 Journal of the Mathematical Society of Japan 3 Nagoya Mathematical Journal 3 Rendiconti del Seminario Matematico della Università di Padova 3 Tohoku Mathematical Journal. Second Series 3 $$K$$-Theory 3 Differential Geometry and its Applications 3 Communications in Contemporary Mathematics 3 Journal of Topology and Analysis 2 Journal of Geometry and Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Archiv der Mathematik 2 Canadian Journal of Mathematics 2 Canadian Mathematical Bulletin 2 Collectanea Mathematica 2 Commentarii Mathematici Helvetici 2 Illinois Journal of Mathematics 2 Publications Mathématiques 2 Le Matematiche 2 Mathematische Nachrichten 2 Pacific Journal of Mathematics 2 Forum Mathematicum 2 The Journal of Geometric Analysis 2 Geometric and Functional Analysis. GAFA 2 The New York Journal of Mathematics 2 Representation Theory 2 Revista Matemática Complutense 2 Central European Journal of Mathematics 2 Journal of Topology 2 Journal of Commutative Algebra 2 Annals of $$K$$-Theory 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematical Notes 1 Nuclear Physics. B 1 Russian Mathematical Surveys 1 Acta Mathematica Vietnamica 1 Czechoslovak Mathematical Journal 1 Glasgow Mathematical Journal 1 Hokkaido Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Kodai Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Transactions of the Moscow Mathematical Society 1 Journal of Symbolic Computation 1 Journal of the Ramanujan Mathematical Society 1 Science in China. Series A 1 Sugaku Expositions 1 Annals of Physics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences ...and 30 more Serials
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#### Cited in 38 Fields

 425 Algebraic geometry (14-XX) 115 Algebraic topology (55-XX) 89 Group theory and generalizations (20-XX) 78 Commutative algebra (13-XX) 67 Manifolds and cell complexes (57-XX) 63 Number theory (11-XX) 57 $$K$$-theory (19-XX) 53 Differential geometry (53-XX) 49 Several complex variables and analytic spaces (32-XX) 39 Category theory; homological algebra (18-XX) 28 Associative rings and algebras (16-XX) 23 Combinatorics (05-XX) 15 Convex and discrete geometry (52-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 11 Nonassociative rings and algebras (17-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Field theory and polynomials (12-XX) 6 Topological groups, Lie groups (22-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Quantum theory (81-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 4 Special functions (33-XX) 3 Real functions (26-XX) 3 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Geometry (51-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX)

#### Wikidata Timeline

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