Edit Profile (opens in new tab) Parshin, Alexei N. Compute Distance To: Compute Author ID: parshin.alexei-n Published as: Parshin, A. N.; Parshin, Alekseĭ N.; Parshin, Aleksej N.; Parshin, Alexei N.; Paršin, A. N. External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 96 Publications since 1966, including 2 Books 17 Contributions as Editor · 3 Further Contributions Reviewing Activity: 156 Reviews Biographic References: 2 Publications Co-Authors: 154 Co-Authors with 60 Joint Publications 4,044 Co-Co-Authors all top 5 Co-Authors 53 single-authored 24 Shafarevich, Igor’ Rostislavovich 13 Gamkrelidze, Revaz Valerianovich 9 Novikov, Sergeĭ Petrovich 8 Kulikov, Viktor Stepanovich 8 Manin, Yuri Ivanovich 7 Bukhshtaber, Viktor Matveevich 7 Demidov, Sergeĭ Sergeevich 7 Orlov, Dmitri O. 6 Kozlov, Valeriĭ Vasil’evich 6 Prokhorov, Yuriĭ Gennad’evich 5 Kostrikin, Alekseĭ Ivanovich 5 Osipov, Denis Vasil’evich 5 Zel’manov, Efim Isaakovich 4 Bogomolov, Fedor Alekseivich 4 Iskovskikh, Vasiliĭ Alekseevich 4 Kolmogorov, Andreĭ Nikolaevich 4 Nikulin, Vyacheslav Valentinovich 4 Petrova, Svetlana Sergeevna 4 Platonov, Vladimir Petrovich 4 Yushkevich, Adol’f Pavlovich 4 Zarkhin, Yuriĭ Gennad’evich 3 Adyan, Sergeĭ Ivanovich 3 Cheltsov, Ivan Anatol’evich 3 Gnedenko, Boris Vladimirovich 3 Gorchinskiĭ, Sergeĭ Olegovich 3 Latyshev, Viktor Nikolaevich 3 Margulis, Grigoriĭ Aleksandrovich 3 Mikhalëv, Aleksandr Vasil’evich 3 Nesterenko, Yuriĭ Valentinovich 3 Ol’shanskiĭ, Aleksandr Yur’evich 3 Popov, Vladimir Leonidovich 3 Reid, Miles 3 Shokurov, Vyacheslav Vladimirovich 3 Tyurin, Andreĭ Nikolaevich 3 Vinberg, Èrnest Borisovich 2 Aleksandrov, Pavel Sergeevich 2 Bashmakova, Izabella Grigor’evna 2 Beklemishev, Lev D. 2 Benyash-Krivets, Valeriĭ Vatslavovich 2 Bokut, Leonid A. 2 Chernousov, Vladimir I. 2 Demushkin, S. P. 2 Faddeev, Dmitriĭ Konstantinovich 2 Faddeev, Lyudvig Dmitrievich 2 Golod, Evgeniĭ Solomonovich 2 Kac, Victor G. 2 Kolesnikov, Pavel Sergeevich 2 Kuz’min, Leonid Viktorovich 2 Matiyasevich, Yuriĭ Vladimirovich 2 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 2 Piontkovskij, D. I. 2 Polovinkin, S. M. 2 Pontryagin, Lev Semënovich 2 Prasad, Gopal 2 Pukhlikov, Aleksandr Valentinovich 2 Rapinchuk, Andrei S. 2 Sabitov, Idzhad Khakovich 2 Shchepin, Evgenij V. 2 Sheĭnman, Oleg Karlovich 2 Shestakov, Ivan Pavlovich 2 Smirnova, Galina Sergeevna 2 Taimanov, Iskander Asanovich 2 Tikhomirov, Vladimir Mikhaĭlovich 2 Treshchev, Dmitriĭ Valer’evich 2 Vasil’ev, Viktor Anatol’evich 2 Weyl, Hermann 1 Alexandrov, Victor A. 1 Andreev, N. N. 1 Anosov, Dmitriĭ Viktorovich 1 Arkhipov, Gennadiĭ Ivanovich 1 Arnal’, S. A. 1 Arnol’d, Vladimir Igorevich 1 Arslanov, Marat M. 1 Artamonov, Vyacheslav Aleksandrovich 1 Arzhantsev, Ivan Vladimirovich 1 Avdeev, F. S. 1 Birkar, Caucher 1 Biryukov, B. V. 1 Catanese, Fabrizio M. E. 1 Chirskiĭ, Vladimir Grigor’evich 1 Danilov, Yu. A. 1 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 1 Dolbilin, Nikolaĭ Petrovich 1 Dolgachev, Igor’ Vladimirovich 1 Dubrovin, Nikolaĭ Ivanovich 1 Erokhovets, Nikolaĭ Yur’evich 1 Fel’dman, Naum Il’ich 1 Filippov, Vladimir Mikhailovich 1 Florenskiĭ, Pavel Aleksandrovich 1 Florenskij, P. V. 1 Fomenko, Anatoliĭ Timofeevich 1 Gaifullin, Alexander A. 1 Garber, Alexeĭ Igorevich 1 Gashkov, Sergey B. 1 Gonchar, Andreĭ Aleksandrovich 1 Goncharov, Sergeĭ Savost’yanovich 1 Grigorchuk, Rostislav Ivanovich 1 Il’in, Vladimir Aleksandrovich 1 Ireland, Kenneth F. 1 Kaledin, Dmitry B. ...and 63 more Co-Authors all top 5 Serials 24 Russian Mathematical Surveys 7 Encyclopaedia of Mathematical Sciences 7 Proceedings of the Steklov Institute of Mathematics 5 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 4 Uspekhi Matematicheskikh Nauk [N. S.] 4 Istoriko-Matematicheskie Issledovaniya 4 Mathematics of the USSR. Izvestiya 4 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 3 Sbornik: Mathematics 3 Istoriko-Matematicheskie Issledovaniya. Vtoraya Seriya 2 Mathematical Notes 2 Matematicheskie Zametki 2 Functional Analysis and its Applications 2 Soviet Mathematics. Doklady 2 Izvestiya: Mathematics 2 Chebyshevskiĭ Sbornik 1 Communications in Algebra 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Soviet Mathematics 1 Voprosy Istorii Estestvoznaniya i Tekhniki 1 Historia Mathematica 1 Mathematics of the USSR, Sbornik 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 European Mathematical Society Newsletter 1 Doklady Mathematics 1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Translations. Series 2. American Mathematical Society all top 5 Fields 52 Algebraic geometry (14-XX) 43 History and biography (01-XX) 31 Number theory (11-XX) 17 General and overarching topics; collections (00-XX) 9 Group theory and generalizations (20-XX) 5 Field theory and polynomials (12-XX) 5 Abstract harmonic analysis (43-XX) 4 Category theory; homological algebra (18-XX) 4 Topological groups, Lie groups (22-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Mathematical logic and foundations (03-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 68 Publications have been cited 371 times in 210 Documents Cited by ▼ Year ▼ Local class field theory. Zbl 0535.12013Parshin, A. N. 22 1984 Algebraic curves over function fields. I. Zbl 0188.53003Parshin, A. N. 22 1970 Chern classes, adeles and L-functions. Zbl 0518.14013Parshin, A. N. 19 1983 Abelian coverings of arithmetic schemes. Zbl 0443.12006Parshin, A. N. 18 1978 On the arithmetics of two-dimensional schemes. I: Distributions and residues. (Zur Arithmetik zweidimensionaler Schemata. I: Verteilungen und Residuen.) Zbl 0358.14012Parshin, A. N. 18 1976 Algebraic curves over function fields. I. Zbl 0181.23902Parshin, A. N. 18 1968 Local class field theory. Zbl 0579.12012Parshin, A. N. 17 1985 On the arithmetic of two-dimensional schemes. I: Distributions and residues. Zbl 0366.14003Parshin, A. N. 15 1977 Harmonic analysis on local fields and adelic spaces. II. Zbl 1232.11122Osipov, D. V.; Parshin, A. N. 12 2011 Klassenkörper und algebraische K-Theorie. Zbl 0302.14005Parshin, A. N. 12 1975 Integrable systems and local fields. Zbl 1014.14015Parshin, A. N. 11 2001 Number theory IV: Transcendental numbers. Edited by A. N. Parshin, I. R. Shafarevich and R. V. Gamkrelidze. Transl. from the Russian by Neal Koblitz. Zbl 0885.11004Fel’dman, N. I.; Nesterenko, Yu. V. 9 1998 On a ring of formal pseudodifferential operators. Zbl 1008.37042Parshin, A. N. 9 1999 Representations of higher adelic groups and arithmetic. Zbl 1266.11118Parshin, A. N. 9 2011 Harmonic analysis on local fields and adelic spaces. I. Zbl 1222.11137Osipov, D. V.; Parshin, A. N. 7 2008 Finiteness theorems and hyperbolic manifolds. Zbl 0742.14018Parshin, A. N. 7 1990 Galois cohomology and the Brauer group of local fields. Zbl 0731.11064Parshin, A. N. 7 1991 Minimal models of curves of genus 2 and homomorphisms of Abelian varieties defined over a field of finite characteristic. Zbl 0249.14003Parshin, A. N. 7 1973 Higher dimensional local fields and \(L\)-functions. Zbl 1008.11060Parshin, A. N. 7 2000 Algebraic curves over function fields. Zbl 0176.50903Parshin, A. N. 6 1968 The Krichever correspondence for algebraic surfaces. Zbl 1078.14525Parshin, A. N. 6 2001 Algebraic geometry V: Fano varieties. Transl. from the Russian by Yu. G. Prokhorov and S. Tregub. Zbl 0903.00014 6 1999 On irreducible representations of discrete Heisenberg groups. Zbl 1264.43007Arnal’, S. A.; Parshin, A. N. 6 2012 On holomorphic representations of discrete Heisenberg groups. Zbl 1232.43005Parshin, A. N. 5 2010 Minimale Modelle der Kurven vom Geschlecht 2 und Homomorphismen Abelscher Mannigfaltigkeiten, die über einem Körper endlicher Charakteristik definiert sind. Zbl 0246.14007Parshin, A. N. 5 1972 On a certain generalization of Jacobian manifold. (Über eine Verallgemeinerung der Jacobischen Mannigfaltigkeit.) Zbl 0163.15303Parshin, A. N. 5 1966 Number theory II: Algebraic number theory. Transl. from the Russian. Zbl 0814.00007 4 1992 Harmonic analysis and the Riemann-Roch theorem. Zbl 1350.14015Osipov, D. V.; Parshin, A. N. 4 2011 On the application of ramified coverings in the theory of diophantine equations. Zbl 0702.14017Parshin, A. N. 4 1990 Letter to Don Zagier. Zbl 0728.14009Parshin, A. N. 4 1991 Vector bundles and arithmetical groups. I. Zbl 0880.20022Parshin, A. N. 4 1995 Finiteness problems in Diophantine geometry. Zbl 0672.14012Zarkhin, Yu. G.; Parshin, A. N. 4 1986 Questions and remarks to the Langlands programme. Zbl 1318.22010Parshin, A. N. 3 2012 Higher Bruhat-Tits buildings and vector bundles on an algebraic surface. Zbl 0832.14032Parshin, A. N. 3 1994 A generalization of the Jacobian variety. Zbl 0189.21501Parshin, A. N. 3 1969 Notes on the Poisson formula. With an appendix by Irina S. Rezvyakova. Zbl 1323.11065Parshin, A. N. 3 2012 Representations of the discrete Heisenberg group on distribution spaces of two-dimensional local fields. Zbl 1377.11121Osipov, D. V.; Parshin, A. N. 3 2016 The Bogomolov-Miyaoka-Yau inequality for the arithmetical surfaces and its applications. Zbl 0706.14015Parshin, A. N. 3 1988 A holomorphic version of the Tate-Iwasawa method for unramified \(L\)-functions. I. Zbl 1318.11149Parshin, A. N. 3 2014 Residues and duality on algebraic surfaces. (Residuen und eine Dualität auf algebraischen Flächen.) Zbl 0358.14013Parshin, A. N. 2 1977 Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall. Zbl 0788.00015 2 1994 XIXth century mathematics. Mathematical logic. Algebra. Number theory. Probability theory. Ed. by A. N. Kolmogorov and A. P. Yushkevich. (Математика {XIX} века. Математическая логика. Алгебра. Теория чисел. Теория вероятностей.) Zbl 0523.01001Bashmakova, I. G.; Gnedenko, B. V.; Kuzicheva, Z. A.; Medvedev, F. A.; Ozhigova, E. P.; Parshin, A. N.; Rudakov, A. N.; Slavutin, E. I.; Sheĭnin, O. B.; Yushkevich, A. P. 2 1978 The different and discriminant of regular mappings. Zbl 0177.24201Dolgachev, I. V.; Parshin, A. N. 2 1968 Numbers as functions: the development of an idea in the Moscow school of algebraic geometry. Zbl 1119.01018Parshin, A. N. 2 2006 Number theory IV: Transcendental numbers. Transl. from the Russian by N. Koblitz. Zbl 1155.00324 2 1998 Quelques conjectures de finitude en géométrie diophantienne. (Some conjectures of finiteness in Diophantine geometry.). Zbl 0224.14009Paršin, A. N. 2 1971 Arithmetic on algebraic varieties. Zbl 0284.14004Parshin, A. N. 2 1973 Modular correspondences, heights and isogenies of Abelian varieties. Zbl 0305.14015Parshin, A. N. 2 1975 Nikolai Petrovich Dolbilin (on his 70th birthday). Zbl 1291.01031Andreev, N. N.; Buchstaber, V. M.; Garber, A. I.; Kozlov, V. V.; Konovalov, S. P.; Mal’tsev, A. A.; Nesterenko, Yu V.; Novikov, S. P.; Parshin, A. N.; Sabitov, I. Kh; Semenov, A. L.; Sergeev, A. G.; Sheinman, O. K.; Shtogrin, M. I.; Shchepin, E. V. 2 2014 Fundamentals of Diophantine geometry. (Osnovy diofantovoj geometrii). Transl. from the English by D. G. Markushevich. Transl. ed. and with a preface by Yu. I. Manin. With an appendix by Yu. G. Zarkhin and A. N. Parshin. Zbl 0644.14007Lang, Serge 2 1986 A classical introduction to modern number theory. Transl. from the English by S. P. Demushkin. Translation edited and with a preface by A. N. Parshin. (Классическое введение в современную теорию чисел.) Zbl 0662.10001Ireland, Kenneth F.; Rosen, Michael I. 2 1987 Mathematics in Moscow: it has been a great era. (Mathematik in Moskau – es war eine große Epoche.) Zbl 1204.01042Parshin, Aleksej N. 1 2010 David Hilbert und die Invariantentheorie. Zbl 0372.01003Parshin, A. N. 1 1975 Adelic Lefschetz formula for the action of a one-dimensional torus. Zbl 1152.14017Gorchinskii, S. O.; Parshin, A. N. 1 2006 Igor’ Rostislavovich Shafarevich (on his sixtieth birthday). Zbl 0553.01024Demushkin, S. P.; Kostrikin, A. I.; Novikov, S. P.; Parshin, A. N.; Pontryagin, L. S.; Tyurin, A. N.; Faddeev, D. K. 1 1984 Vector bundles and arithmetic groups. II. Zbl 1077.14055Parshin, A. N. 1 2003 Note on the Siegel formula. Zbl 0999.20040Parshin, A. N. 1 2001 On the direct image conjecture in the relative Langlands programme. Zbl 1371.14019Parshin, A. N. 1 2015 Selected works. Mathematics. Theoretical physics. Ed. by V. I. Arnol’d. (Избранные труды. Математика. Теоретическая физика.) Zbl 0569.01035Weyl, Hermann 1 1984 The arithmetic of algebraic varieties (in the algebra section of the Steklov mathematical institute of the academy of sciences). Zbl 0605.14001Parshin, A. N.; Shafarevich, I. R. 1 1986 Local constructions in algebraic geometry. Zbl 1239.14034Parshin, A. N. 1 2006 On the correspondence between N. N. Luzin and P. A. Florenskij. Zbl 0691.01011Demidov, S. S.; Parshin, A. N.; Polovinkin, S. M. 1 1989 Aleksei Ivanovich Kostrikin (obituary). Zbl 1017.01516Vinberg, È. B.; Golod, E. S.; Zel’manov, E. I.; Iskovskikh, V. A.; Latyshev, V. N.; Manin, Yu. I.; Mikhalev, A. V.; Parshin, A. N.; Shafarevich, I. R.; Shmel’kin, A. L. 1 2001 Modulare Korrespondenzen, Höhen und Isogenien algebraischer Mannigfaltigkeiten. Zbl 0286.14011Parshin, A. N. 1 1973 Algebraic curves over functional fields with a finite field of constants. Zbl 0299.14016Parshin, A. N. 1 1974 Isabella Grigoryevna Bashmakova on the eightieth anniversary of her birth. Zbl 1011.01011Demidov, Sergey S.; Parshin, Alexei N.; Shafarevich, Igor R.; Petrova, Svetlana S.; Smirnova, Galina S.; Tikhomirov, Vladimir M.; Vandoulakis, Ioannis M. 1 2002 Isogenies and torsion of elliptic curves. Zbl 0216.05901Parshin, A. N. 1 1971 The Bruhat-Tits buildings over higher dimensional local fields. Zbl 1008.20018Parshin, A. N. 1 2000 Representations of the discrete Heisenberg group on distribution spaces of two-dimensional local fields. Zbl 1377.11121Osipov, D. V.; Parshin, A. N. 3 2016 On the direct image conjecture in the relative Langlands programme. Zbl 1371.14019Parshin, A. N. 1 2015 A holomorphic version of the Tate-Iwasawa method for unramified \(L\)-functions. I. Zbl 1318.11149Parshin, A. N. 3 2014 Nikolai Petrovich Dolbilin (on his 70th birthday). Zbl 1291.01031Andreev, N. N.; Buchstaber, V. M.; Garber, A. I.; Kozlov, V. V.; Konovalov, S. P.; Mal’tsev, A. A.; Nesterenko, Yu V.; Novikov, S. P.; Parshin, A. N.; Sabitov, I. Kh; Semenov, A. L.; Sergeev, A. G.; Sheinman, O. K.; Shtogrin, M. I.; Shchepin, E. V. 2 2014 On irreducible representations of discrete Heisenberg groups. Zbl 1264.43007Arnal’, S. A.; Parshin, A. N. 6 2012 Questions and remarks to the Langlands programme. Zbl 1318.22010Parshin, A. N. 3 2012 Notes on the Poisson formula. With an appendix by Irina S. Rezvyakova. Zbl 1323.11065Parshin, A. N. 3 2012 Harmonic analysis on local fields and adelic spaces. II. Zbl 1232.11122Osipov, D. V.; Parshin, A. N. 12 2011 Representations of higher adelic groups and arithmetic. Zbl 1266.11118Parshin, A. N. 9 2011 Harmonic analysis and the Riemann-Roch theorem. Zbl 1350.14015Osipov, D. V.; Parshin, A. N. 4 2011 On holomorphic representations of discrete Heisenberg groups. Zbl 1232.43005Parshin, A. N. 5 2010 Mathematics in Moscow: it has been a great era. (Mathematik in Moskau – es war eine große Epoche.) Zbl 1204.01042Parshin, Aleksej N. 1 2010 Harmonic analysis on local fields and adelic spaces. I. Zbl 1222.11137Osipov, D. V.; Parshin, A. N. 7 2008 Numbers as functions: the development of an idea in the Moscow school of algebraic geometry. Zbl 1119.01018Parshin, A. N. 2 2006 Adelic Lefschetz formula for the action of a one-dimensional torus. Zbl 1152.14017Gorchinskii, S. O.; Parshin, A. N. 1 2006 Local constructions in algebraic geometry. Zbl 1239.14034Parshin, A. N. 1 2006 Vector bundles and arithmetic groups. II. Zbl 1077.14055Parshin, A. N. 1 2003 Isabella Grigoryevna Bashmakova on the eightieth anniversary of her birth. Zbl 1011.01011Demidov, Sergey S.; Parshin, Alexei N.; Shafarevich, Igor R.; Petrova, Svetlana S.; Smirnova, Galina S.; Tikhomirov, Vladimir M.; Vandoulakis, Ioannis M. 1 2002 Integrable systems and local fields. Zbl 1014.14015Parshin, A. N. 11 2001 The Krichever correspondence for algebraic surfaces. Zbl 1078.14525Parshin, A. N. 6 2001 Note on the Siegel formula. Zbl 0999.20040Parshin, A. N. 1 2001 Aleksei Ivanovich Kostrikin (obituary). Zbl 1017.01516Vinberg, È. B.; Golod, E. S.; Zel’manov, E. I.; Iskovskikh, V. A.; Latyshev, V. N.; Manin, Yu. I.; Mikhalev, A. V.; Parshin, A. N.; Shafarevich, I. R.; Shmel’kin, A. L. 1 2001 Higher dimensional local fields and \(L\)-functions. Zbl 1008.11060Parshin, A. N. 7 2000 The Bruhat-Tits buildings over higher dimensional local fields. Zbl 1008.20018Parshin, A. N. 1 2000 On a ring of formal pseudodifferential operators. Zbl 1008.37042Parshin, A. N. 9 1999 Algebraic geometry V: Fano varieties. Transl. from the Russian by Yu. G. Prokhorov and S. Tregub. Zbl 0903.00014 6 1999 Number theory IV: Transcendental numbers. Edited by A. N. Parshin, I. R. Shafarevich and R. V. Gamkrelidze. Transl. from the Russian by Neal Koblitz. Zbl 0885.11004Fel’dman, N. I.; Nesterenko, Yu. V. 9 1998 Number theory IV: Transcendental numbers. Transl. from the Russian by N. Koblitz. Zbl 1155.00324 2 1998 Vector bundles and arithmetical groups. I. Zbl 0880.20022Parshin, A. N. 4 1995 Higher Bruhat-Tits buildings and vector bundles on an algebraic surface. Zbl 0832.14032Parshin, A. N. 3 1994 Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall. Zbl 0788.00015 2 1994 Number theory II: Algebraic number theory. Transl. from the Russian. Zbl 0814.00007 4 1992 Galois cohomology and the Brauer group of local fields. Zbl 0731.11064Parshin, A. N. 7 1991 Letter to Don Zagier. Zbl 0728.14009Parshin, A. N. 4 1991 Finiteness theorems and hyperbolic manifolds. Zbl 0742.14018Parshin, A. N. 7 1990 On the application of ramified coverings in the theory of diophantine equations. Zbl 0702.14017Parshin, A. N. 4 1990 On the correspondence between N. N. Luzin and P. A. Florenskij. Zbl 0691.01011Demidov, S. S.; Parshin, A. N.; Polovinkin, S. M. 1 1989 The Bogomolov-Miyaoka-Yau inequality for the arithmetical surfaces and its applications. Zbl 0706.14015Parshin, A. N. 3 1988 A classical introduction to modern number theory. Transl. from the English by S. P. Demushkin. Translation edited and with a preface by A. N. Parshin. (Классическое введение в современную теорию чисел.) Zbl 0662.10001Ireland, Kenneth F.; Rosen, Michael I. 2 1987 Finiteness problems in Diophantine geometry. Zbl 0672.14012Zarkhin, Yu. G.; Parshin, A. N. 4 1986 Fundamentals of Diophantine geometry. (Osnovy diofantovoj geometrii). Transl. from the English by D. G. Markushevich. Transl. ed. and with a preface by Yu. I. Manin. With an appendix by Yu. G. Zarkhin and A. N. Parshin. Zbl 0644.14007Lang, Serge 2 1986 The arithmetic of algebraic varieties (in the algebra section of the Steklov mathematical institute of the academy of sciences). Zbl 0605.14001Parshin, A. N.; Shafarevich, I. R. 1 1986 Local class field theory. Zbl 0579.12012Parshin, A. N. 17 1985 Local class field theory. Zbl 0535.12013Parshin, A. N. 22 1984 Igor’ Rostislavovich Shafarevich (on his sixtieth birthday). Zbl 0553.01024Demushkin, S. P.; Kostrikin, A. I.; Novikov, S. P.; Parshin, A. N.; Pontryagin, L. S.; Tyurin, A. N.; Faddeev, D. K. 1 1984 Selected works. Mathematics. Theoretical physics. Ed. by V. I. Arnol’d. (Избранные труды. Математика. Теоретическая физика.) Zbl 0569.01035Weyl, Hermann 1 1984 Chern classes, adeles and L-functions. Zbl 0518.14013Parshin, A. N. 19 1983 Abelian coverings of arithmetic schemes. Zbl 0443.12006Parshin, A. N. 18 1978 XIXth century mathematics. Mathematical logic. Algebra. Number theory. Probability theory. Ed. by A. N. Kolmogorov and A. P. Yushkevich. (Математика {XIX} века. Математическая логика. Алгебра. Теория чисел. Теория вероятностей.) Zbl 0523.01001Bashmakova, I. G.; Gnedenko, B. V.; Kuzicheva, Z. A.; Medvedev, F. A.; Ozhigova, E. P.; Parshin, A. N.; Rudakov, A. N.; Slavutin, E. I.; Sheĭnin, O. B.; Yushkevich, A. P. 2 1978 On the arithmetic of two-dimensional schemes. I: Distributions and residues. Zbl 0366.14003Parshin, A. N. 15 1977 Residues and duality on algebraic surfaces. (Residuen und eine Dualität auf algebraischen Flächen.) Zbl 0358.14013Parshin, A. N. 2 1977 On the arithmetics of two-dimensional schemes. I: Distributions and residues. (Zur Arithmetik zweidimensionaler Schemata. I: Verteilungen und Residuen.) Zbl 0358.14012Parshin, A. N. 18 1976 Klassenkörper und algebraische K-Theorie. Zbl 0302.14005Parshin, A. N. 12 1975 Modular correspondences, heights and isogenies of Abelian varieties. Zbl 0305.14015Parshin, A. N. 2 1975 David Hilbert und die Invariantentheorie. Zbl 0372.01003Parshin, A. N. 1 1975 Algebraic curves over functional fields with a finite field of constants. Zbl 0299.14016Parshin, A. N. 1 1974 Minimal models of curves of genus 2 and homomorphisms of Abelian varieties defined over a field of finite characteristic. Zbl 0249.14003Parshin, A. N. 7 1973 Arithmetic on algebraic varieties. Zbl 0284.14004Parshin, A. N. 2 1973 Modulare Korrespondenzen, Höhen und Isogenien algebraischer Mannigfaltigkeiten. Zbl 0286.14011Parshin, A. N. 1 1973 Minimale Modelle der Kurven vom Geschlecht 2 und Homomorphismen Abelscher Mannigfaltigkeiten, die über einem Körper endlicher Charakteristik definiert sind. Zbl 0246.14007Parshin, A. N. 5 1972 Quelques conjectures de finitude en géométrie diophantienne. (Some conjectures of finiteness in Diophantine geometry.). Zbl 0224.14009Paršin, A. N. 2 1971 Isogenies and torsion of elliptic curves. Zbl 0216.05901Parshin, A. N. 1 1971 Algebraic curves over function fields. I. Zbl 0188.53003Parshin, A. N. 22 1970 A generalization of the Jacobian variety. Zbl 0189.21501Parshin, A. N. 3 1969 Algebraic curves over function fields. I. Zbl 0181.23902Parshin, A. N. 18 1968 Algebraic curves over function fields. Zbl 0176.50903Parshin, A. N. 6 1968 The different and discriminant of regular mappings. Zbl 0177.24201Dolgachev, I. V.; Parshin, A. N. 2 1968 On a certain generalization of Jacobian manifold. (Über eine Verallgemeinerung der Jacobischen Mannigfaltigkeit.) Zbl 0163.15303Parshin, A. N. 5 1966 all cited Publications top 5 cited Publications all top 5 Cited by 225 Authors 17 Osipov, Denis Vasil’evich 9 Parshin, Alexei N. 8 Vostokov, Sergeĭ Vladimirovich 8 Zheglov, Alexander B. 6 Gorchinskiĭ, Sergeĭ Olegovich 5 Zarkhin, Yuriĭ Gennad’evich 4 Bräunling, Oliver 4 Fesenko, Ivan Borisovich 4 Gröchenig, Michael 4 Pablos Romo, Fernando 3 Burban, Igor 3 Campana, Frédéric 3 Kovács, Sándor J. 3 Kurke, Herbert 3 Liu, Dongwen 3 Previato, Emma 3 Rao, Sheng 3 Wolfson, Jesse 3 Zamora, Alexis G. 2 Abedin, Raschid 2 Abrashkin, Viktor Aleksandrovich 2 Alexandru, Victor 2 Bell, Robert A. 2 Brylinski, Jean-Luc 2 Buium, Alexandru 2 Cámara, Alberto 2 Castañeda-Salazar, Margarita 2 Castorena, Abel 2 Conlon, Ronan J. 2 Couvreur, Alain 2 Dolgachev, Igor’ Vladimirovich 2 Dupre, Maurice J. 2 Gerasimov, Anton A. 2 Glazebrook, James F. 2 Hein, Hans-Joachim 2 Kapranov, Mikhail M. 2 Kato, Kazuya 2 Kaveh, Kiumars 2 Khovanskiĭ, Askold Georgievich 2 Kulikov, Viktor Stepanovich 2 Lieblich, Max David 2 Oort, Frans 2 Popescu, Nicolae 2 Popov, Vladimir Leonidovich 2 Saito, Takeshi 2 Takebayashi, Tadayoshi 2 Tan, Sheng-Li 2 Tsai, I-Hsun 2 Viehweg, Eckart 2 Volkov, Vladislav Vladimirovich 1 Akhmedov, Anar 1 Alcántara, Claudia R. 1 Antkowiak, Aneta 1 Antonelli, Vincenzo 1 Arkhipova, Arina A. Arkhipova 1 Arnal’, S. A. 1 Arzhantsev, Ivan Vladimirovich 1 Beloshapka, I. V. 1 Beltran, Jarnishs 1 Benois, D. G. 1 Bloch, Spencer J. 1 Bukhshtaber, Viktor Matveevich 1 Bunkova, Elena Yur’evna 1 Caporaso, Lucia 1 Casnati, Gianfranco 1 Catanese, Fabrizio M. E. 1 Chen, Kuo-Tsai 1 Chinburg, Ted 1 Cinkir, Zubeyir 1 Corvaja, Pietro 1 Curilla, Christian 1 Czerniawska, Weronika 1 de Cataldo, Mark Andrea A. 1 Del Corso, Ilaria 1 Delzant, Thomas 1 Demidov, Sergeĭ Sergeevich 1 Deninger, Christopher 1 Diaz, Steven P. 1 Dolce, Paolo 1 Donagi, Ron Y. 1 Douai, Jean-Claude 1 Dubovitskaya, Maria A. 1 Edixhoven, S. J. 1 Esnault, Hélène 1 Esterov, Alexander I. 1 Faltings, Gerd 1 Farinati, Marco Andrés 1 Ford, Charles E. 1 Galinat, Lennart 1 Gálvez-Carrillo, Imma 1 Gavrilov, Lubomir 1 Genç, Özhan 1 Gras, Georges 1 Hain, Richard M. 1 Harbater, David 1 Hatui, Sumana 1 Heier, Gordon 1 Heleodoro, Aron 1 Hiranouchi, Toshiro 1 Huang, I-Chiau ...and 125 more Authors all top 5 Cited in 89 Serials 10 Inventiones Mathematicae 9 Journal of Pure and Applied Algebra 9 Journal de Théorie des Nombres de Bordeaux 8 Duke Mathematical Journal 8 Journal of Algebra 7 Compositio Mathematica 7 Proceedings of the Steklov Institute of Mathematics 6 Communications in Algebra 6 Mathematical Notes 6 Manuscripta Mathematica 5 Advances in Mathematics 5 Journal of Soviet Mathematics 5 Journal of Mathematical Sciences (New York) 5 St. Petersburg Mathematical Journal 4 Annales de l’Institut Fourier 4 Mathematische Annalen 4 Sbornik: Mathematics 3 Communications in Mathematical Physics 3 Russian Mathematical Surveys 3 Functional Analysis and its Applications 3 Journal of Number Theory 3 Proceedings of the Japan Academy. Series A 3 Geometric and Functional Analysis. GAFA 3 Izvestiya: Mathematics 3 Annals of Mathematics. Second Series 2 The Mathematical Intelligencer 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Collectanea Mathematica 2 Geometriae Dedicata 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Michigan Mathematical Journal 2 Osaka Journal of Mathematics 2 Rendiconti del Seminario Matematico della Università di Padova 2 Transactions of the American Mathematical Society 2 International Journal of Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Doklady Mathematics 1 Israel Journal of Mathematics 1 Letters in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Journal of Geometry and Physics 1 Archiv der Mathematik 1 Publications Mathématiques 1 Journal für die Reine und Angewandte Mathematik 1 Mathematika 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tohoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Transactions of the Moscow Mathematical Society 1 Bulletin of the Korean Mathematical Society 1 Acta Applicandae Mathematicae 1 \(K\)-Theory 1 Journal of the American Mathematical Society 1 Communications in Partial Differential Equations 1 Historia Mathematica 1 Bulletin of the American Mathematical Society. New Series 1 Vestnik St. Petersburg University. Mathematics 1 Journal of Algebraic Geometry 1 Applied Categorical Structures 1 Selecta Mathematica. New Series 1 Bulletin des Sciences Mathématiques 1 Theory and Applications of Categories 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Geometry & Topology 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications in Contemporary Mathematics 1 Lobachevskii Journal of Mathematics 1 Journal of Nonlinear Mathematical Physics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Hacettepe Journal of Mathematics and Statistics 1 Journal of Algebra and its Applications 1 International Journal of Number Theory 1 Mathematics in Computer Science 1 Complex Analysis and Operator Theory 1 Frontiers of Mathematics in China 1 Science China. Mathematics 1 Antiquitates Mathematicae 1 Kyoto Journal of Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 EMS Surveys in Mathematical Sciences 1 Research in the Mathematical Sciences 1 European Journal of Mathematics 1 Transactions of the American Mathematical Society. Series B all top 5 Cited in 37 Fields 126 Algebraic geometry (14-XX) 76 Number theory (11-XX) 20 \(K\)-theory (19-XX) 19 Several complex variables and analytic spaces (32-XX) 18 Commutative algebra (13-XX) 17 Group theory and generalizations (20-XX) 14 Field theory and polynomials (12-XX) 9 Nonassociative rings and algebras (17-XX) 9 Category theory; homological algebra (18-XX) 9 Differential geometry (53-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 History and biography (01-XX) 7 Topological groups, Lie groups (22-XX) 7 Abstract harmonic analysis (43-XX) 6 Associative rings and algebras (16-XX) 5 Manifolds and cell complexes (57-XX) 5 Information and communication theory, circuits (94-XX) 4 Partial differential equations (35-XX) 3 Functions of a complex variable (30-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Combinatorics (05-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Algebraic topology (55-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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