Edit Profile (opens in new tab) Berkovich, Vladimir G. Compute Distance To: Compute 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 18 Publications have been cited 676 times in 389 Documents Cited by ▼ Year ▼ Spectral theory and analytic geometry over non-Archimedean fields. Zbl 0715.14013Berkovich, Vladimir G. 278 1990 Étale cohomology for non-Archimedean analytic spaces. Zbl 0804.32019Berkovich, Vladimir G. 138 1993 Smooth \(p\)-adic analytic spaces are locally contractible. Zbl 0930.32016Berkovich, Vladimir G. 65 1999 Vanishing cycles for formal schemes. Zbl 0791.14008Berkovich, Vladimir G. 52 1994 Vanishing cycles for formal schemes. II. Zbl 0852.14002Berkovich, Vladimir G. 46 1996 Smooth \(p\)-adic analytic spaces are locally contractible. II. Zbl 1060.32010Berkovich, Vladimir G. 24 2004 A non-archimedean interpretation of the weight zero subspaces of limit mixed Hodge structures. Zbl 1195.14014Berkovich, Vladimir G. 14 2009 Integration of one-forms on \(p\)-adic analytic spaces. Zbl 1161.14001Berkovich, Vladimir G. 12 2007 On the comparison theorem for étale cohomology of non-Archimedean analytic spaces. Zbl 0864.14011Berkovich, Vladimir G. 10 1995 An analog of Tate’s conjecture over local and finitely generated fields. Zbl 1068.14502Berkovich, Vladimir G. 10 2000 The automorphism group of the Drinfeld half-plane. Zbl 0856.14007Berkovich, Vladimir G. 8 1995 Finiteness theorems for vanishing cycles of formal schemes. Zbl 1353.14032Berkovich, Vladimir G. 4 2015 The rational points on the Jacobians of modular curves. Zbl 0385.14007Berkovic, V. G. 4 1978 Vanishing cycles for non-Archimedean analytic spaces. Zbl 0988.14004Berkovich, Vladimir G. 3 1996 On the division by an isogeny of the points of an elliptic curve. Zbl 0303.14004Berkovic, V. G. 2 1975 The Brauer group of abelian varieties. Zbl 0264.14011Berkovic, V. G. 2 1973 \(p\)-adic analytic spaces. Zbl 0949.14010Berkovich, Vladimir G. 2 1998 Non-archimedean analytic geometry: first steps. Zbl 1153.14019Berkovich, Vladimir 2 2008 Finiteness theorems for vanishing cycles of formal schemes. Zbl 1353.14032Berkovich, Vladimir G. 4 2015 A non-archimedean interpretation of the weight zero subspaces of limit mixed Hodge structures. Zbl 1195.14014Berkovich, Vladimir G. 14 2009 Non-archimedean analytic geometry: first steps. Zbl 1153.14019Berkovich, Vladimir 2 2008 Integration of one-forms on \(p\)-adic analytic spaces. Zbl 1161.14001Berkovich, Vladimir G. 12 2007 Smooth \(p\)-adic analytic spaces are locally contractible. II. Zbl 1060.32010Berkovich, Vladimir G. 24 2004 An analog of Tate’s conjecture over local and finitely generated fields. Zbl 1068.14502Berkovich, Vladimir G. 10 2000 Smooth \(p\)-adic analytic spaces are locally contractible. Zbl 0930.32016Berkovich, Vladimir G. 65 1999 \(p\)-adic analytic spaces. Zbl 0949.14010Berkovich, Vladimir G. 2 1998 Vanishing cycles for formal schemes. II. Zbl 0852.14002Berkovich, Vladimir G. 46 1996 Vanishing cycles for non-Archimedean analytic spaces. Zbl 0988.14004Berkovich, Vladimir G. 3 1996 On the comparison theorem for étale cohomology of non-Archimedean analytic spaces. Zbl 0864.14011Berkovich, Vladimir G. 10 1995 The automorphism group of the Drinfeld half-plane. Zbl 0856.14007Berkovich, Vladimir G. 8 1995 Vanishing cycles for formal schemes. Zbl 0791.14008Berkovich, Vladimir G. 52 1994 Étale cohomology for non-Archimedean analytic spaces. Zbl 0804.32019Berkovich, Vladimir G. 138 1993 Spectral theory and analytic geometry over non-Archimedean fields. Zbl 0715.14013Berkovich, Vladimir G. 278 1990 The rational points on the Jacobians of modular curves. Zbl 0385.14007Berkovic, V. G. 4 1978 On the division by an isogeny of the points of an elliptic curve. Zbl 0303.14004Berkovic, V. G. 2 1975 The Brauer group of abelian varieties. Zbl 0264.14011Berkovic, V. G. 2 1973 all cited Publications top 5 cited Publications all top 5 Cited by 315 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 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 Ng, Chi-Keung 2 Pasten, Hector V. 2 Porta, Mauro 2 Pottmeyer, Lukas 2 Pulita, Andrea 2 Rémy, Bertrand 2 Rowen, Louis Halle ...and 215 more Authors all top 5 Cited in 91 Serials 26 Mathematische Annalen 19 Compositio Mathematica 18 Advances in Mathematics 18 Annales de l’Institut Fourier 18 Inventiones Mathematicae 16 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 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 Tohoku 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 Journal de Théorie des Nombres de Bordeaux 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 all top 5 Cited in 37 Fields 295 Algebraic geometry (14-XX) 109 Number theory (11-XX) 78 Several complex variables and analytic spaces (32-XX) 43 Field theory and polynomials (12-XX) 41 Dynamical systems and ergodic theory (37-XX) 21 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) Citations by Year