Compute Distance To:
 Author ID: berkovich.vladimir-g Published as: Berkovich, Vladimir G.; Berkovic, V. G.; Berkovich, V. G.; Berkovich, Vladimir more...less
 Documents Indexed: 24 Publications since 1970, including 2 Books 3 Contributions as Editor Co-Authors: 3 Co-Authors with 3 Joint Publications 49 Co-Co-Authors

### Co-Authors

 24 single-authored 3 Gubler, Walter Bruno 3 Werner, Annette 2 Schneider, Peter
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### Serials

 3 Inventiones Mathematicae 3 Oberwolfach Reports 2 Israel Journal of Mathematics 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Mathematics of the USSR, Sbornik 1 Mathematical Notes 1 Algebra and Logic 1 Algebra i Logika 1 Functional Analysis and its Applications 1 Publications Mathématiques 1 Selecta Mathematica Sovietica 1 Journal of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Documenta Mathematica 1 Annals of Mathematics Studies 1 Mathematical Surveys and Monographs
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### Fields

 23 Algebraic geometry (14-XX) 11 Several complex variables and analytic spaces (32-XX) 7 Number theory (11-XX) 3 General and overarching topics; collections (00-XX) 3 Mathematical logic and foundations (03-XX) 3 Category theory; homological algebra (18-XX) 3 Group theory and generalizations (20-XX) 2 Field theory and polynomials (12-XX)

### Citations contained in zbMATH Open

18 Publications have been cited 687 times in 394 Documents Cited by Year
Spectral theory and analytic geometry over non-Archimedean fields. Zbl 0715.14013
1990
Étale cohomology for non-Archimedean analytic spaces. Zbl 0804.32019
1993
Smooth $$p$$-adic analytic spaces are locally contractible. Zbl 0930.32016
1999
Vanishing cycles for formal schemes. Zbl 0791.14008
1994
Vanishing cycles for formal schemes. II. Zbl 0852.14002
1996
Smooth $$p$$-adic analytic spaces are locally contractible. II. Zbl 1060.32010
2004
A non-archimedean interpretation of the weight zero subspaces of limit mixed Hodge structures. Zbl 1195.14014
2009
Integration of one-forms on $$p$$-adic analytic spaces. Zbl 1161.14001
2007
An analog of Tate’s conjecture over local and finitely generated fields. Zbl 1068.14502
2000
On the comparison theorem for étale cohomology of non-Archimedean analytic spaces. Zbl 0864.14011
1995
The automorphism group of the Drinfeld half-plane. Zbl 0856.14007
1995
The rational points on the Jacobians of modular curves. Zbl 0385.14007
Berkovic, V. G.
1978
Finiteness theorems for vanishing cycles of formal schemes. Zbl 1353.14032
2015
Vanishing cycles for non-Archimedean analytic spaces. Zbl 0988.14004
1996
The Brauer group of abelian varieties. Zbl 0264.14011
Berkovic, V. G.
1973
On the division by an isogeny of the points of an elliptic curve. Zbl 0303.14004
Berkovic, V. G.
1975
Non-archimedean analytic geometry: first steps. Zbl 1153.14019
2008
$$p$$-adic analytic spaces. Zbl 0949.14010
1998
Finiteness theorems for vanishing cycles of formal schemes. Zbl 1353.14032
2015
A non-archimedean interpretation of the weight zero subspaces of limit mixed Hodge structures. Zbl 1195.14014
2009
Non-archimedean analytic geometry: first steps. Zbl 1153.14019
2008
Integration of one-forms on $$p$$-adic analytic spaces. Zbl 1161.14001
2007
Smooth $$p$$-adic analytic spaces are locally contractible. II. Zbl 1060.32010
2004
An analog of Tate’s conjecture over local and finitely generated fields. Zbl 1068.14502
2000
Smooth $$p$$-adic analytic spaces are locally contractible. Zbl 0930.32016
1999
$$p$$-adic analytic spaces. Zbl 0949.14010
1998
Vanishing cycles for formal schemes. II. Zbl 0852.14002
1996
Vanishing cycles for non-Archimedean analytic spaces. Zbl 0988.14004
1996
On the comparison theorem for étale cohomology of non-Archimedean analytic spaces. Zbl 0864.14011
1995
The automorphism group of the Drinfeld half-plane. Zbl 0856.14007
1995
Vanishing cycles for formal schemes. Zbl 0791.14008
1994
Étale cohomology for non-Archimedean analytic spaces. Zbl 0804.32019
1993
Spectral theory and analytic geometry over non-Archimedean fields. Zbl 0715.14013
1990
The rational points on the Jacobians of modular curves. Zbl 0385.14007
Berkovic, V. G.
1978
On the division by an isogeny of the points of an elliptic curve. Zbl 0303.14004
Berkovic, V. G.
1975
The Brauer group of abelian varieties. Zbl 0264.14011
Berkovic, V. G.
1973
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### Cited by 318 Authors

 14 Escassut, Alain 14 Nicaise, Johannes 14 Temkin, Michael 11 Favre, Charles 11 Gubler, Walter Bruno 11 Jonsson, Mattias 10 Kedlaya, Kiran Sridhara 10 Poineau, Jérôme 9 Boucksom, Sébastien 8 Werner, Annette 8 Yu, Tony Yue 7 Ulirsch, Martin 6 Martin, Florent 5 André, Yves 5 Ben-Bassat, Oren 5 Ducros, Antoine 5 Payne, Sam 4 Baker, Matthew H. 4 Baldassarri, Francesco 4 Bambozzi, Federico 4 Berkovich, Vladimir G. 4 Colmez, Pierre 4 Dat, Jean-François 4 Fantini, Lorenzo 4 Fargues, Laurent 4 Foster, Tyler 4 Hartl, Urs T. 4 Jell, Philipp 4 Markwig, Hannah 4 Mieda, Yoichi 4 Mihara, Tomoki 4 Nizioł, Wiesława 4 Petsche, Clayton 4 Rumely, Robert S. 4 Thuillier, Amaury 4 Xu, Chenyang 3 Benedetto, Robert L. 3 Bojkovic, Velibor 3 Caporaso, Lucia 3 Chambert-Loir, Antoine 3 Chan, Melody 3 Chicourrat, Monique 3 Cueto, María Angélica 3 Dospinescu, Gabriel 3 Faber, Xander 3 Hansen, David 3 Jacobs, Kenneth S. 3 Kremnizer, Kobi 3 Lepage, Emmanuel 3 Loeser, François 3 Maïnetti, Nicolas 3 Okuyama, Yûsuke 3 Rabinoff, Joseph 3 Ranganathan, Dhruv 3 Rivera-Letelier, Juan 3 Scholze, Peter 3 Sebag, Julien 3 Turchetti, Daniele 3 Wanner, Veronika 3 Welliaveetil, John 3 Wise, Jonathan 3 Yamaki, Kazuhiko 2 Amini, Omid 2 Azzouz, Tinhinane A. 2 Bergdall, John 2 Bradley, Patrick Erik 2 Brown, Morgan V. 2 Cartwright, Dustin A. 2 Cavalieri, Renzo 2 Chinburg, Ted 2 Chojecki, Przemyslaw 2 Conrad, Brian 2 Cubides Kovacsics, Pablo 2 de Felipe, Ana Belén 2 DeMarco, Laura Grace 2 Dujardin, Romain 2 Fan, Shilei 2 Fujiwara, Kazuhiro 2 Gignac, William 2 Große-Klönne, Elmar 2 Halle, Lars Halvard 2 Hamidine, Ibrahima 2 Hisamoto, Tomoyuki 2 Jiang, Yunfeng 2 Johansson, Christian 2 Katz, Eric 2 Kiwi, Jan 2 Künnemann, Klaus 2 Leung, Chi-Wai 2 Li, Shizhang 2 Lorscheid, Oliver 2 Ludsteck, Thomas 2 Mauri, Mirko 2 Mazzon, Enrica 2 Mehmeti, Vlerë 2 Ng, Chi-Keung 2 Pasten, Hector V. 2 Porta, Mauro 2 Pottmeyer, Lukas 2 Pulita, Andrea ...and 218 more Authors
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### Cited in 91 Serials

 27 Mathematische Annalen 19 Annales de l’Institut Fourier 19 Compositio Mathematica 18 Advances in Mathematics 18 Inventiones Mathematicae 18 Mathematische Zeitschrift 14 Journal of Number Theory 13 Duke Mathematical Journal 10 Israel Journal of Mathematics 10 Journal für die Reine und Angewandte Mathematik 10 Manuscripta Mathematica 10 Transactions of the American Mathematical Society 10 Journal of Algebraic Geometry 9 Selecta Mathematica. New Series 8 Journal of Algebra 8 Journal of the Institute of Mathematics of Jussieu 8 Algebra & Number Theory 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Journal of the European Mathematical Society (JEMS) 5 Publications Mathématiques 5 Rendiconti del Seminario Matematico della Università di Padova 5 Journal of the American Mathematical Society 5 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 5 Forum of Mathematics, Sigma 4 Acta Arithmetica 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Research in the Mathematical Sciences 3 Memoirs of the American Mathematical Society 3 Michigan Mathematical Journal 3 Proceedings of the American Mathematical Society 3 Documenta Mathematica 3 Acta Mathematica Sinica. English Series 3 Sarajevo Journal of Mathematics 3 Journal de l’École Polytechnique – Mathématiques 3 Annales Henri Lebesgue 2 Rocky Mountain Journal of Mathematics 2 Acta Mathematica Vietnamica 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Journal of Functional Analysis 2 Proceedings of the London Mathematical Society. Third Series 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Topology and its Applications 2 Ergodic Theory and Dynamical Systems 2 L’Enseignement Mathématique. 2e Série 2 Bulletin of the American Mathematical Society. New Series 2 Journal de Théorie des Nombres de Bordeaux 2 Geometry & Topology 2 Annals of Mathematics. Second Series 2 Categories and General Algebraic Structures with Applications 1 Communications in Algebra 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Beiträge zur Algebra und Geometrie 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Fundamenta Mathematicae 1 Nagoya Mathematical Journal 1 Proceedings of the Japan Academy. Series A 1 Tôhoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Advances in Applied Mathematics 1 Journal of Classification 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 IMRN. International Mathematics Research Notices 1 Journal of Dynamics and Differential Equations 1 Experimental Mathematics 1 Bulletin des Sciences Mathématiques 1 The Ramanujan Journal 1 Milan Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Cubo 1 Oberwolfach Reports 1 International Journal of Number Theory 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Noncommutative Geometry 1 Journal of Modern Dynamics 1 Kyoto Journal of Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Advances in Nonlinear Analysis 1 Arnold Mathematical Journal 1 European Journal of Mathematics 1 Research in Number Theory 1 Proceedings of the American Mathematical Society. Series B 1 Transactions of the American Mathematical Society. Series B 1 Advances in Operator Theory 1 Tunisian Journal of Mathematics
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### Cited in 37 Fields

 300 Algebraic geometry (14-XX) 110 Number theory (11-XX) 81 Several complex variables and analytic spaces (32-XX) 43 Field theory and polynomials (12-XX) 42 Dynamical systems and ergodic theory (37-XX) 22 Commutative algebra (13-XX) 20 Functional analysis (46-XX) 14 Functions of a complex variable (30-XX) 13 Topological groups, Lie groups (22-XX) 12 Mathematical logic and foundations (03-XX) 12 Associative rings and algebras (16-XX) 12 Differential geometry (53-XX) 10 Group theory and generalizations (20-XX) 8 Category theory; homological algebra (18-XX) 6 Operator theory (47-XX) 5 Combinatorics (05-XX) 4 Convex and discrete geometry (52-XX) 4 General topology (54-XX) 3 Potential theory (31-XX) 2 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 General algebraic systems (08-XX) 2 $$K$$-theory (19-XX) 2 Measure and integration (28-XX) 2 Partial differential equations (35-XX) 2 Geometry (51-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX)