Edit Profile (opens in new tab) Parshin, Alekseĭ Nikolaevich (b. 1942 d. 2022) Co-Author Distance Author ID: parshin.alexei-n Published as: Parshin, A. N.; Parshin, Alekseĭ N.; Parshin, Aleksej N.; Parshin, Alexei N.; Paršin, A. N. more...less Further Spellings: Паршин Алексей Николаевич External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 101 Publications since 1966, including 2 Books and 4 Additional arXiv Preprints 17 Contributions as Editor · 3 Further Contributions Reviewing Activity: 156 Reviews Biographic References: 6 Publications Co-Authors: 157 Co-Authors with 61 Joint Publications 4,393 Co-Co-Authors all top 5 Co-Authors 57 single-authored 24 Shafarevich, Igor’ Rostislavovich 13 Gamkrelidze, Revaz Valerianovich 9 Novikov, Sergeĭ Petrovich 8 Kulikov, Viktor Stepanovich 8 Manin, Yuriĭ Ivanovich 8 Orlov, Dmitri O. 7 Bukhshtaber, Viktor Matveevich 7 Demidov, Sergeĭ Sergeevich 7 Prokhorov, Yuriĭ Gennad’evich 6 Kozlov, Valeriĭ Vasil’evich 6 Osipov, Denis Vasil’evich 5 Bogomolov, Fedor Alekseivich 5 Kostrikin, Alekseĭ Ivanovich 5 Nikulin, Vyacheslav Valentinovich 5 Zel’manov, Efim Isaakovich 4 Cheltsov, Ivan Anatol’evich 4 Gorchinskiĭ, Sergeĭ Olegovich 4 Iskovskikh, Vasiliĭ Alekseevich 4 Kolmogorov, Andreĭ Nikolaevich 4 Petrova, Svetlana Sergeevna 4 Platonov, Vladimir Petrovich 4 Popov, Vladimir Leonidovich 4 Reid, Miles 4 Yushkevich, Adol’f Pavlovich 4 Zarkhin, Yuriĭ Gennad’evich 3 Adyan, Sergeĭ Ivanovich 3 Gnedenko, Boris Vladimirovich 3 Latyshev, Viktor Nikolaevich 3 Margulis, Grigoriĭ Aleksandrovich 3 Mikhalëv, Aleksandr Vasil’evich 3 Nesterenko, Yuriĭ Valentinovich 3 Ol’shanskiĭ, Aleksandr Yur’evich 3 Shokurov, Vyacheslav Vladimirovich 3 Treshchev, Dmitriĭ Valer’evich 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 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 Przhiyalkovskiĭ, Viktor Vladimirovich 2 Pukhlikov, Aleksandr Valentinovich 2 Rapinchuk, Andrei S. 2 Sabitov, Idzhad Khakovich 2 Sergeev, Armen Glebovich 2 Shchepin, Evgeniĭ Vital’evich 2 Sheĭnman, Oleg Karlovich 2 Shestakov, Ivan Pavlovich 2 Smirnova, Galina Sergeevna 2 Taĭmanov, Iskander Asanovich 2 Tikhomirov, Vladimir Mikhaĭlovich 2 Vasil’ev, Viktor Anatol’evich 2 Weyl, Hermann 1 Alexandrov, Victor A. 1 Andreev, Nikolaĭ Nikolaevich 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, Fëdor Stepanovich 1 Birkar, Caucher 1 Biryukov, B. V. 1 Catanese, Fabrizio M. E. 1 Chirka, Evgeniĭ Mikhaĭlovich 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 Mikhaĭlovich 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 ...and 66 more Co-Authors all top 5 Serials 25 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 54 Algebraic geometry (14-XX) 44 History and biography (01-XX) 33 Number theory (11-XX) 17 General and overarching topics; collections (00-XX) 10 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 76 Publications have been cited 475 times in 282 Documents Cited by ▼ Year ▼ Algebraic curves over function fields. I. Zbl 0181.23902 Parshin, A. N. 26 1968 Algebraic geometry V: Fano varieties. Transl. from the Russian by Yu. G. Prokhorov and S. Tregub. Zbl 0903.00014 25 1999 Algebraic curves over function fields. I. Zbl 0188.53003 Parshin, A. N. 25 1970 Local class field theory. Zbl 0535.12013 Parshin, A. N. 25 1984 Abelian coverings of arithmetic schemes. Zbl 0443.12006 Parshin, A. N. 22 1978 On the arithmetics of two-dimensional schemes. I: Distributions and residues. (Zur Arithmetik zweidimensionaler Schemata. I: Verteilungen und Residuen.) Zbl 0358.14012 Parshin, A. N. 21 1976 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 0885.11004 Fel’dman, N. I.; Nesterenko, Yu. V. 21 1998 Local class field theory. Zbl 0579.12012 Parshin, A. N. 20 1985 Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall. Zbl 0788.00015 20 1994 Chern classes, adeles and L-functions. Zbl 0518.14013 Parshin, A. N. 20 1983 On the arithmetic of two-dimensional schemes. I: Distributions and residues. Zbl 0366.14003 Parshin, A. N. 17 1977 Klassenkörper und algebraische K-Theorie. Zbl 0302.14005 Parshin, A. N. 15 1975 Harmonic analysis on local fields and adelic spaces. II. Zbl 1232.11122 Osipov, D. V.; Parshin, A. N. 15 2011 On a ring of formal pseudodifferential operators. Zbl 1008.37042 Parshin, A. N. 12 1999 Integrable systems and local fields. Zbl 1014.14015 Parshin, A. N. 12 2001 Representations of higher adelic groups and arithmetic. Zbl 1266.11118 Parshin, A. N. 11 2011 The Krichever correspondence for algebraic surfaces. Zbl 1078.14525 Parshin, A. N. 9 2001 Galois cohomology and the Brauer group of local fields. Zbl 0731.11064 Parshin, A. N. 9 1991 Higher dimensional local fields and \(L\)-functions. Zbl 1008.11060 Parshin, A. N. 8 2000 Finiteness theorems and hyperbolic manifolds. Zbl 0742.14018 Parshin, A. N. 8 1990 Harmonic analysis on local fields and adelic spaces. I. Zbl 1222.11137 Osipov, D. V.; Parshin, A. N. 8 2008 Algebraic curves over function fields. Zbl 0176.50903 Parshin, A. N. 7 1968 Minimal models of curves of genus 2 and homomorphisms of Abelian varieties defined over a field of finite characteristic. Zbl 0249.14003 Parshin, A. N. 7 1973 On irreducible representations of discrete Heisenberg groups. Zbl 1264.43007 Arnal’, S. A.; Parshin, A. N. 7 2012 On a certain generalization of Jacobian manifold. (Über eine Verallgemeinerung der Jacobischen Mannigfaltigkeit.) Zbl 0163.15303 Parshin, A. N. 6 1966 Minimale Modelle der Kurven vom Geschlecht 2 und Homomorphismen Abelscher Mannigfaltigkeiten, die über einem Körper endlicher Charakteristik definiert sind. Zbl 0246.14007 Parshin, A. N. 6 1972 On holomorphic representations of discrete Heisenberg groups. Zbl 1232.43005 Parshin, A. N. 6 2010 On the application of ramified coverings in the theory of diophantine equations. Zbl 0702.14017 Parshin, A. N. 5 1990 Number theory IV: Transcendental numbers. Transl. from the Russian by N. Koblitz. Zbl 1155.00324 5 1998 Number theory II: Algebraic number theory. Transl. from the Russian. Zbl 0814.00007 5 1992 Harmonic analysis and the Riemann-Roch theorem. Zbl 1350.14015 Osipov, D. V.; Parshin, A. N. 5 2011 Vector bundles and arithmetical groups. I. Zbl 0880.20022 Parshin, A. N. 5 1995 Questions and remarks to the Langlands programme. Zbl 1318.22010 Parshin, A. N. 5 2012 A holomorphic version of the Tate-Iwasawa method for unramified \(L\)-functions. I. Zbl 1318.11149 Parshin, A. N. 4 2014 The Bogomolov-Miyaoka-Yau inequality for the arithmetical surfaces and its applications. Zbl 0706.14015 Parshin, A. N. 4 1988 Letter to Don Zagier. Zbl 0728.14009 Parshin, A. N. 4 1991 Finiteness problems in Diophantine geometry. Zbl 0672.14012 Zarkhin, Yu. G.; Parshin, A. N. 4 1986 Higher Bruhat-Tits buildings and vector bundles on an algebraic surface. Zbl 0832.14032 Parshin, A. N. 4 1994 Notes on the Poisson formula. With an appendix by Irina S. Rezvyakova. Zbl 1323.11065 Parshin, A. N. 4 2012 Arithmetic on algebraic varieties. Zbl 0284.14004 Parshin, A. N. 3 1973 Representations of the discrete Heisenberg group on distribution spaces of two-dimensional local fields. Zbl 1377.11121 Osipov, D. V.; Parshin, A. N. 3 2016 Note on the Siegel formula. Zbl 0999.20040 Parshin, A. N. 3 2001 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 0662.10001 Ireland, Kenneth F.; Rosen, Michael I. 3 1987 The different and discriminant of regular mappings. Zbl 0177.24201 Dolgachev, I. V.; Parshin, A. N. 3 1968 A generalization of the Jacobian variety. Zbl 0189.21501 Parshin, A. N. 3 1969 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 0523.01001 Bashmakova, 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. 3 1978 Selected works. Mathematics. Theoretical physics. Ed. by V. I. Arnol’d. (Избранные труды. Математика. Теоретическая физика.) Zbl 0569.01035 Weyl, Hermann 3 1984 Modular correspondences, heights and isogenies of Abelian varieties. Zbl 0305.14015 Parshin, A. N. 2 1975 Residues and duality on algebraic surfaces. (Residuen und eine Dualität auf algebraischen Flächen.) Zbl 0358.14013 Parshin, A. N. 2 1977 The arithmetic of algebraic varieties (in the algebra section of the Steklov mathematical institute of the academy of sciences). Zbl 0605.14001 Parshin, A. N.; Shafarevich, I. R. 2 1986 Nikolai Petrovich Dolbilin (on his 70th birthday). Zbl 1291.01031 Andreev, 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 0644.14007 Lang, Serge 2 1986 Vector bundles and arithmetic groups. II. Zbl 1077.14055 Parshin, A. N. 2 2003 Numbers as functions: the development of an idea in the Moscow school of algebraic geometry. Zbl 1119.01018 Parshin, A. N. 2 2006 Quelques conjectures de finitude en géométrie diophantienne. (Some conjectures of finiteness in Diophantine geometry.). Zbl 0224.14009 Paršin, A. N. 2 1971 On the correspondence between N. N. Luzin and P. A. Florenskij. Zbl 0691.01011 Demidov, S. S.; Parshin, A. N.; Polovinkin, S. M. 2 1989 Adelic Lefschetz formula for the action of a one-dimensional torus. Zbl 1152.14017 Gorchinskii, S. O.; Parshin, A. N. 2 2006 Modulare Korrespondenzen, Höhen und Isogenien algebraischer Mannigfaltigkeiten. Zbl 0286.14011 Parshin, A. N. 1 1973 Algebraic curves over functional fields with a finite field of constants. Zbl 0299.14016 Parshin, A. N. 1 1974 David Hilbert und die Invariantentheorie. Zbl 0372.01003 Parshin, A. N. 1 1975 On the direct image conjecture in the relative Langlands programme. Zbl 1371.14019 Parshin, A. N. 1 2015 Isabella Grigoryevna Bashmakova on the eightieth anniversary of her birth. Zbl 1011.01011 Demidov, Sergey S.; Parshin, Alexei N.; Shafarevich, Igor R.; Petrova, Svetlana S.; Smirnova, Galina S.; Tikhomirov, Vladimir M.; Vandoulakis, Ioannis M. 1 2002 The Bruhat-Tits buildings over higher dimensional local fields. Zbl 1008.20018 Parshin, A. N. 1 2000 Reflections on Gödel’s theorem. Zbl 1074.01521 Parshin, A. N. 1 2000 The Bogomolov-Miyaoka-Yau inequality for the arithmetical surfaces and its applications. Zbl 0705.14022 Parshin, A. N. 1 1988 Introduction to the thesis “The idea of discontinuity as element of Weltanschauung”. Publication and annotations by S. S. Demidov and A. N. Parshin. Zbl 0624.01007 Florenskij, P. A. 1 1986 Algebra VII. Combinatorial group theory. Applications to geometry. Transl. from the Russian. Zbl 0777.00034 1 1993 Algebraic geometry. III. Complex algebraic varieties, algebraic curves and their Jacobians. Transl. from the Russian by I. Rivin. Zbl 0886.14001 1 1998 Isogenies and torsion of elliptic curves. Zbl 0216.05901 Parshin, A. N. 1 1971 Igor’ Rostislavovich Shafarevich (on his sixtieth birthday). Zbl 0553.01024 Demushkin, S. P.; Kostrikin, A. I.; Novikov, S. P.; Parshin, A. N.; Pontryagin, L. S.; Tyurin, A. N.; Faddeev, D. K. 1 1984 Mathematics in Moscow: we had a great epoque once. Zbl 1278.01028 Parshin, A. N. 1 2013 Mathematics in Moscow: we had a great epoch. Zbl 1238.01117 Parshin, A. N. 1 2011 Local constructions in algebraic geometry. Zbl 1239.14034 Parshin, A. N. 1 2006 Correspondence between N. N. Luzin and P. A. Florenskij (publication and annotation by S. S. Demidov, A. N. Parshin, S. M. Polovinkin and P. V. Florenskij). Zbl 0691.01012 1 1989 Mathematics in Moscow: it has been a great era. (Mathematik in Moskau – es war eine große Epoche.) Zbl 1204.01042 Parshin, Aleksej N. 1 2010 Aleksei Ivanovich Kostrikin (obituary). Zbl 1017.01516 Vinberg, 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 Representations of the discrete Heisenberg group on distribution spaces of two-dimensional local fields. Zbl 1377.11121 Osipov, D. V.; Parshin, A. N. 3 2016 On the direct image conjecture in the relative Langlands programme. Zbl 1371.14019 Parshin, A. N. 1 2015 A holomorphic version of the Tate-Iwasawa method for unramified \(L\)-functions. I. Zbl 1318.11149 Parshin, A. N. 4 2014 Nikolai Petrovich Dolbilin (on his 70th birthday). Zbl 1291.01031 Andreev, 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 Mathematics in Moscow: we had a great epoque once. Zbl 1278.01028 Parshin, A. N. 1 2013 On irreducible representations of discrete Heisenberg groups. Zbl 1264.43007 Arnal’, S. A.; Parshin, A. N. 7 2012 Questions and remarks to the Langlands programme. Zbl 1318.22010 Parshin, A. N. 5 2012 Notes on the Poisson formula. With an appendix by Irina S. Rezvyakova. Zbl 1323.11065 Parshin, A. N. 4 2012 Harmonic analysis on local fields and adelic spaces. II. Zbl 1232.11122 Osipov, D. V.; Parshin, A. N. 15 2011 Representations of higher adelic groups and arithmetic. Zbl 1266.11118 Parshin, A. N. 11 2011 Harmonic analysis and the Riemann-Roch theorem. Zbl 1350.14015 Osipov, D. V.; Parshin, A. N. 5 2011 Mathematics in Moscow: we had a great epoch. Zbl 1238.01117 Parshin, A. N. 1 2011 On holomorphic representations of discrete Heisenberg groups. Zbl 1232.43005 Parshin, A. N. 6 2010 Mathematics in Moscow: it has been a great era. (Mathematik in Moskau – es war eine große Epoche.) Zbl 1204.01042 Parshin, Aleksej N. 1 2010 Harmonic analysis on local fields and adelic spaces. I. Zbl 1222.11137 Osipov, D. V.; Parshin, A. N. 8 2008 Numbers as functions: the development of an idea in the Moscow school of algebraic geometry. Zbl 1119.01018 Parshin, A. N. 2 2006 Adelic Lefschetz formula for the action of a one-dimensional torus. Zbl 1152.14017 Gorchinskii, S. O.; Parshin, A. N. 2 2006 Local constructions in algebraic geometry. Zbl 1239.14034 Parshin, A. N. 1 2006 Vector bundles and arithmetic groups. II. Zbl 1077.14055 Parshin, A. N. 2 2003 Isabella Grigoryevna Bashmakova on the eightieth anniversary of her birth. Zbl 1011.01011 Demidov, 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 1014.14015 Parshin, A. N. 12 2001 The Krichever correspondence for algebraic surfaces. Zbl 1078.14525 Parshin, A. N. 9 2001 Note on the Siegel formula. Zbl 0999.20040 Parshin, A. N. 3 2001 Aleksei Ivanovich Kostrikin (obituary). Zbl 1017.01516 Vinberg, 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 1008.11060 Parshin, A. N. 8 2000 The Bruhat-Tits buildings over higher dimensional local fields. Zbl 1008.20018 Parshin, A. N. 1 2000 Reflections on Gödel’s theorem. Zbl 1074.01521 Parshin, A. N. 1 2000 Algebraic geometry V: Fano varieties. Transl. from the Russian by Yu. G. Prokhorov and S. Tregub. Zbl 0903.00014 25 1999 On a ring of formal pseudodifferential operators. Zbl 1008.37042 Parshin, A. N. 12 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 0885.11004 Fel’dman, N. I.; Nesterenko, Yu. V. 21 1998 Number theory IV: Transcendental numbers. Transl. from the Russian by N. Koblitz. Zbl 1155.00324 5 1998 Algebraic geometry. III. Complex algebraic varieties, algebraic curves and their Jacobians. Transl. from the Russian by I. Rivin. Zbl 0886.14001 1 1998 Vector bundles and arithmetical groups. I. Zbl 0880.20022 Parshin, A. N. 5 1995 Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall. Zbl 0788.00015 20 1994 Higher Bruhat-Tits buildings and vector bundles on an algebraic surface. Zbl 0832.14032 Parshin, A. N. 4 1994 Algebra VII. Combinatorial group theory. Applications to geometry. Transl. from the Russian. Zbl 0777.00034 1 1993 Number theory II: Algebraic number theory. Transl. from the Russian. Zbl 0814.00007 5 1992 Galois cohomology and the Brauer group of local fields. Zbl 0731.11064 Parshin, A. N. 9 1991 Letter to Don Zagier. Zbl 0728.14009 Parshin, A. N. 4 1991 Finiteness theorems and hyperbolic manifolds. Zbl 0742.14018 Parshin, A. N. 8 1990 On the application of ramified coverings in the theory of diophantine equations. Zbl 0702.14017 Parshin, A. N. 5 1990 On the correspondence between N. N. Luzin and P. A. Florenskij. Zbl 0691.01011 Demidov, S. S.; Parshin, A. N.; Polovinkin, S. M. 2 1989 Correspondence between N. N. Luzin and P. A. Florenskij (publication and annotation by S. S. Demidov, A. N. Parshin, S. M. Polovinkin and P. V. Florenskij). Zbl 0691.01012 1 1989 The Bogomolov-Miyaoka-Yau inequality for the arithmetical surfaces and its applications. Zbl 0706.14015 Parshin, A. N. 4 1988 The Bogomolov-Miyaoka-Yau inequality for the arithmetical surfaces and its applications. Zbl 0705.14022 Parshin, A. N. 1 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 0662.10001 Ireland, Kenneth F.; Rosen, Michael I. 3 1987 Finiteness problems in Diophantine geometry. Zbl 0672.14012 Zarkhin, Yu. G.; Parshin, A. N. 4 1986 The arithmetic of algebraic varieties (in the algebra section of the Steklov mathematical institute of the academy of sciences). Zbl 0605.14001 Parshin, A. N.; Shafarevich, I. R. 2 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 0644.14007 Lang, Serge 2 1986 Introduction to the thesis “The idea of discontinuity as element of Weltanschauung”. Publication and annotations by S. S. Demidov and A. N. Parshin. Zbl 0624.01007 Florenskij, P. A. 1 1986 Local class field theory. Zbl 0579.12012 Parshin, A. N. 20 1985 Local class field theory. Zbl 0535.12013 Parshin, A. N. 25 1984 Selected works. Mathematics. Theoretical physics. Ed. by V. I. Arnol’d. (Избранные труды. Математика. Теоретическая физика.) Zbl 0569.01035 Weyl, Hermann 3 1984 Igor’ Rostislavovich Shafarevich (on his sixtieth birthday). Zbl 0553.01024 Demushkin, S. P.; Kostrikin, A. I.; Novikov, S. P.; Parshin, A. N.; Pontryagin, L. S.; Tyurin, A. N.; Faddeev, D. K. 1 1984 Chern classes, adeles and L-functions. Zbl 0518.14013 Parshin, A. N. 20 1983 Abelian coverings of arithmetic schemes. Zbl 0443.12006 Parshin, A. N. 22 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 0523.01001 Bashmakova, 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. 3 1978 On the arithmetic of two-dimensional schemes. I: Distributions and residues. Zbl 0366.14003 Parshin, A. N. 17 1977 Residues and duality on algebraic surfaces. (Residuen und eine Dualität auf algebraischen Flächen.) Zbl 0358.14013 Parshin, A. N. 2 1977 On the arithmetics of two-dimensional schemes. I: Distributions and residues. (Zur Arithmetik zweidimensionaler Schemata. I: Verteilungen und Residuen.) Zbl 0358.14012 Parshin, A. N. 21 1976 Klassenkörper und algebraische K-Theorie. Zbl 0302.14005 Parshin, A. N. 15 1975 Modular correspondences, heights and isogenies of Abelian varieties. Zbl 0305.14015 Parshin, A. N. 2 1975 David Hilbert und die Invariantentheorie. Zbl 0372.01003 Parshin, A. N. 1 1975 Algebraic curves over functional fields with a finite field of constants. Zbl 0299.14016 Parshin, A. N. 1 1974 Minimal models of curves of genus 2 and homomorphisms of Abelian varieties defined over a field of finite characteristic. Zbl 0249.14003 Parshin, A. N. 7 1973 Arithmetic on algebraic varieties. Zbl 0284.14004 Parshin, A. N. 3 1973 Modulare Korrespondenzen, Höhen und Isogenien algebraischer Mannigfaltigkeiten. Zbl 0286.14011 Parshin, A. N. 1 1973 Minimale Modelle der Kurven vom Geschlecht 2 und Homomorphismen Abelscher Mannigfaltigkeiten, die über einem Körper endlicher Charakteristik definiert sind. Zbl 0246.14007 Parshin, A. N. 6 1972 Quelques conjectures de finitude en géométrie diophantienne. (Some conjectures of finiteness in Diophantine geometry.). Zbl 0224.14009 Paršin, A. N. 2 1971 Isogenies and torsion of elliptic curves. Zbl 0216.05901 Parshin, A. N. 1 1971 Algebraic curves over function fields. I. Zbl 0188.53003 Parshin, A. N. 25 1970 A generalization of the Jacobian variety. Zbl 0189.21501 Parshin, A. N. 3 1969 Algebraic curves over function fields. I. Zbl 0181.23902 Parshin, A. N. 26 1968 Algebraic curves over function fields. Zbl 0176.50903 Parshin, A. N. 7 1968 The different and discriminant of regular mappings. Zbl 0177.24201 Dolgachev, I. V.; Parshin, A. N. 3 1968 On a certain generalization of Jacobian manifold. (Über eine Verallgemeinerung der Jacobischen Mannigfaltigkeit.) Zbl 0163.15303 Parshin, A. N. 6 1966 all cited Publications top 5 cited Publications all top 5 Cited by 326 Authors 17 Osipov, Denis Vasil’evich 9 Parshin, Alekseĭ Nikolaevich 9 Zheglov, Alexander B. 8 Vostokov, Sergeĭ Vladimirovich 6 Gorchinskiĭ, Sergeĭ Olegovich 5 Arzhantsev, Ivan Vladimirovich 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 Kebekus, Stefan 3 Kovács, Sándor J. 3 Kulikov, Viktor Stepanovich 3 Kurke, Herbert 3 Liu, Dongwen 3 Madunts, Aleksandra Igor’evna 3 Previato, Emma 3 Rao, Sheng 3 Taji, Behrouz 3 Tan, Sheng-Li 3 Wolfson, Jesse 3 Zamora, Alexis G. 2 Abban, Hamid 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 Demidov, Sergeĭ Sergeevich 2 Dolce, Paolo 2 Dolgachev, Igor’ Vladimirovich 2 Dupre, Maurice J. 2 Gerasimov, Anton A. 2 Glazebrook, James F. 2 Hausen, Jürgen 2 Hein, Hans-Joachim 2 Herbig, Hans-Christian 2 Herden, Daniel 2 Kaliman, Shulim I. 2 Kapranov, Mikhail M. 2 Kato, Kazuya 2 Kaveh, Kiumars 2 Khovanskiĭ, Askold Georgievich 2 Lebedev, Dmitrii R. 2 Lieblich, Max David 2 Mauz, Christian 2 Oblezin, Sergey V. 2 Oort, Frans 2 Park, Euisung 2 Phung, Xuan Kien 2 Popescu, Nicolae 2 Popov, Vladimir Leonidovich 2 Saito, Takeshi 2 Seaton, Christopher 2 Shabat, Georgiĭ Borisovich 2 Shakhmatov, Kirill V. 2 Shao, Feng 2 Shramov, Konstantin Aleksandrovich 2 Takebayashi, Tadayoshi 2 Tsai, I-Hsun 2 Viehweg, Eckart 2 Volkov, Vladislav Vladimirovich 2 Yuan, Xinyi 2 Zhukov, Igor’ Borisovich 1 Achinger, Piotr 1 Adler, Jeffrey D. 1 Akhmedov, Anar 1 Alcántara, Claudia R. 1 Alfonsi, Luigi 1 Antkowiak, Aneta 1 Antonelli, Vincenzo 1 Arkhipova, Arina A. Arkhipova 1 Arnal’, S. A. 1 Arutyunov, Andronick Aramovich 1 Avdeev, Roman S. 1 Barringer, Austin 1 Beheshti, Roya 1 Beloshapka, I. V. 1 Beltran, Jarnishs 1 Benois, D. G. 1 Benois, Denis 1 Bhargava, Manjul 1 Bloch, Spencer J. 1 Böhning, Christian 1 Bolbachan, Vasily 1 Brown, Gavin Dennis 1 Bukhshtaber, Viktor Matveevich 1 Bunkova, Elena Yur’evna 1 Campo, Livia 1 Caporaso, Lucia 1 Casnati, Gianfranco ...and 226 more Authors all top 5 Cited in 108 Serials 11 Inventiones Mathematicae 11 Journal of Algebra 11 Proceedings of the Steklov Institute of Mathematics 10 Duke Mathematical Journal 9 Journal of Pure and Applied Algebra 9 Journal de Théorie des Nombres de Bordeaux 9 Journal of Mathematical Sciences (New York) 8 Advances in Mathematics 7 Communications in Algebra 7 Compositio Mathematica 7 Manuscripta Mathematica 6 Mathematical Notes 5 Journal of Number Theory 5 Journal of Soviet Mathematics 5 Journal of Algebraic Geometry 5 St. Petersburg Mathematical Journal 5 Sbornik: Mathematics 4 Annales de l’Institut Fourier 4 Geometriae Dedicata 4 Journal für die Reine und Angewandte Mathematik 4 Mathematische Annalen 4 European Journal of Mathematics 3 Communications in Mathematical Physics 3 Russian Mathematical Surveys 3 Journal of Geometry and Physics 3 Collectanea Mathematica 3 Functional Analysis and its Applications 3 Mathematische Zeitschrift 3 Proceedings of the Japan Academy. Series A 3 Transactions of the American Mathematical Society 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 Journal of the London Mathematical Society. Second Series 2 Mathematische Nachrichten 2 Michigan Mathematical Journal 2 Nagoya Mathematical Journal 2 Osaka Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Rendiconti del Seminario Matematico della Università di Padova 2 International Journal of Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Vestnik St. Petersburg University. Mathematics 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Selecta Mathematica. New Series 2 Doklady Mathematics 2 International Journal of Number Theory 2 Chebyshevskiĭ Sbornik 2 Kyoto Journal of Mathematics 1 Israel Journal of Mathematics 1 Letters in Mathematical Physics 1 Linear and Multilinear Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Beiträge zur Algebra und Geometrie 1 Acta Arithmetica 1 American Journal of Mathematics 1 Archiv der Mathematik 1 Publications Mathématiques 1 Mathematika 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Results in Mathematics 1 Tôhoku 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 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Japan Journal of Industrial and Applied Mathematics 1 Communications in Partial Differential Equations 1 L’Enseignement Mathématique. 2e Série 1 Historia Mathematica 1 Bulletin of the American Mathematical Society. New Series 1 Russian Mathematics 1 Experimental Mathematics 1 Applied Categorical Structures 1 Bulletin des Sciences Mathématiques 1 Theory and Applications of Categories 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 ELA. The Electronic Journal of Linear Algebra 1 Transformation Groups 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 Advances in Geometry 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Hacettepe Journal of Mathematics and Statistics 1 Journal of Algebra and its Applications 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Mediterranean Journal of Mathematics 1 Mathematics in Computer Science 1 Complex Analysis and Operator Theory 1 Frontiers of Mathematics in China ...and 8 more Serials all top 5 Cited in 44 Fields 173 Algebraic geometry (14-XX) 92 Number theory (11-XX) 25 Commutative algebra (13-XX) 25 Group theory and generalizations (20-XX) 24 Several complex variables and analytic spaces (32-XX) 21 \(K\)-theory (19-XX) 16 Differential geometry (53-XX) 14 Field theory and polynomials (12-XX) 10 Nonassociative rings and algebras (17-XX) 10 Category theory; homological algebra (18-XX) 9 History and biography (01-XX) 9 Associative rings and algebras (16-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Topological groups, Lie groups (22-XX) 7 Abstract harmonic analysis (43-XX) 7 Manifolds and cell complexes (57-XX) 6 Combinatorics (05-XX) 5 Partial differential equations (35-XX) 5 Information and communication theory, circuits (94-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 3 Ordinary differential equations (34-XX) 3 Algebraic topology (55-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-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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