Edit Profile (opens in new tab) Shokurov, Vyacheslav Vladimirovich Compute Distance To: Compute Author ID: shokurov.vyacheslav-v Published as: Shokurov, V. V.; Shokurov, Vyacheslav V.; Shokurov, Vyacheslav more...less Homepage: http://www.math.jhu.edu/~shokurov/ External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 52 Publications since 1971, including 1 Book 4 Contributions as Editor · 1 Further Contribution Reviewing Activity: 7 Reviews Biographic References: 5 Publications Co-Authors: 31 Co-Authors with 21 Joint Publications 870 Co-Co-Authors all top 5 Co-Authors 36 single-authored 5 Iskovskikh, Vasiliĭ Alekseevich 5 Prokhorov, Yuriĭ Gennad’evich 4 Shafarevich, Igor’ Rostislavovich 3 Manin, Yuriĭ Ivanovich 3 Nikulin, Vyacheslav Valentinovich 3 Parshin, Alexei N. 2 Bogomolov, Fedor Alekseivich 2 Danilov, Vladimir I. 2 Kawamata, Yujiro 2 Kulikov, Viktor Stepanovich 2 Pukhlikov, Aleksandr Valentinovich 2 Reid, Miles 1 Birkar, Caucher 1 Bochvar, D. A. 1 Borisov, Alexander 1 Catanese, Fabrizio M. E. 1 Cheltsov, Ivan Anatol’evich 1 Chen, Yifei 1 Chern, Shiing-Shen 1 Choi, Sung Rak 1 Chow, Wei-Liang 1 Griffiths, Phillip Augustus 1 Harris, Joseph Daniel 1 Kharlamov, Viatcheslav M. 1 Kostrikin, Alekseĭ Ivanovich 1 Minicozzi, William Philip II 1 Nemirovskiĭ, Stefan Yur’evich 1 Orlov, Dmitri O. 1 Przhiyalkovskiĭ, Viktor Vladimirovich 1 Shahidi, Freydoon 1 Sogge, Christopher D. 1 Teicher, Mina 1 Tikhomirov, Alexander Sergeevich 1 Tyurin, Andreĭ Nikolaevich all top 5 Serials 7 Mathematics of the USSR. Izvestiya 4 Russian Mathematical Surveys 4 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 3 Russian Academy of Sciences. Izvestiya. Mathematics 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Mathematics of the USSR, Sbornik 2 Journal of Mathematical Sciences (New York) 2 Izvestiya: Mathematics 2 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 1 Mathematical Notes 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 American Journal of Mathematics 1 Functional Analysis and its Applications 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Inventiones Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Algebraic Geometry 1 Mathematical Research Letters 1 Central European Journal of Mathematics 1 Pure and Applied Mathematics Quarterly 1 Contemporary Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Sbornik Nauchnykh Trudov. Yaroslavskiĭ Gosudarstvennyĭ Pedagogicheskiĭ Institut Im. K. D. Ushinskogo 1 World Scientific Series in 20th Century Physics all top 5 Fields 52 Algebraic geometry (14-XX) 10 Number theory (11-XX) 5 History and biography (01-XX) 5 Several complex variables and analytic spaces (32-XX) 4 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 1 Mathematical logic and foundations (03-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 42 Publications have been cited 509 times in 365 Documents Cited by ▼ Year ▼ 3-fold log flips. Appendix by Yujiro Kawamata: The minimal discrepancy coefficients of terminal singularities in dimension three. Zbl 0785.14023Shokurov, V. V. 76 1992 Towards the second main theorem on complements. Zbl 1159.14020Prokhorov, Yu. G.; Shokurov, V. V. 57 2009 3-fold log models. Zbl 0873.14014Shokurov, V. V. 50 1996 Prelimiting flips. Zbl 1082.14019Shokurov, V. V. 36 2003 Complements on surfaces. Zbl 1177.14078Shokurov, V. V. 34 2000 The non-vanishing theorem. Zbl 0605.14006Shokurov, V. V. 33 1986 Smoothness of the general anti-canonical divisor on a Fano variety. Zbl 0407.14017Shokurov, V. V. 17 1979 Letters of a bi-rationalist. V: Minimal log discrepancy and termination of log flips. Zbl 1107.14012Shokurov, V. V. 17 2004 Letters of a bi-rationalist. VII: Ordered termination. Zbl 1312.14041Shokurov, V. V. 14 2009 Smoothness of the general anticanonical divisor on a Fano 3-fold. Zbl 0429.14012Shokurov, V. V. 13 1980 The existence of a straight line on Fano 3-folds. Zbl 0444.14027Shokurov, V. V. 13 1980 Prym varieties: Theory and applications. Zbl 0572.14025Shokurov, V. V. 13 1984 Principles of algebraic geometry. Vol. 1, 2. Transl. from the English by V. I. Danilov, G. B. Shabat and V. V. Shokurov. (Printsipy algebraicheskoj geometrii. Tom 1, 2.) Zbl 0531.14002Griffiths, Phillip; Harris, Joseph 13 1982 Algebraic curves, algebraic manifolds and schemes. Transl. from the Russian by D. Coray and V. N. Shokurov. 2nd printing of the 1st ed. 1994. Zbl 0901.14013Danilov, V. I.; Shokurov, V. V. 11 1998 Geography of log models: theory and applications. Zbl 1234.14014Shokurov, Vyacheslav V.; Choi, Sung Rak 11 2011 An addendum to the paper “3-fold log flips”. Zbl 0828.14027Shokurov, V. V. 10 1993 Distinguishing Prymians from Jacobians. Zbl 0486.14007Shokurov, V. V. 10 1981 Existence of a line on a Fano variety. Zbl 0422.14019Shokurov, V. V. 9 1979 Shimura integrals of cusp forms. Zbl 0444.14030Shokurov, V. V. 8 1980 The first main theorem on complements: From global to local. Zbl 1068.14018Prokhorov, Yu. G.; Shokurov, V. V. 8 2001 Birational models and flips. Zbl 1079.14023Iskovskikh, V. A.; Shokurov, V. V. 7 2005 Letters of a bi-rationalist. IV: Geometry of log flips. Zbl 1058.14021Shokurov, Vyacheslav V. 6 2002 Shimura integrals of cusp forms. Zbl 0466.14014Shokurov, V. V. 6 1981 Holomorphic differential forms of higher degree on Kuga’s modular varieties. Zbl 0381.14006Shokurov, V. V. 5 1978 The study of the homology of Kuga varieties. Zbl 0462.14013Shokurov, V. V. 5 1981 The Noether-Enriques theorem on canonical curves. Zbl 0225.14017Shokurov, V. V. 5 1971 Semistable 3-fold flips. Zbl 0860.14016Shokurov, V. V. 5 1993 Biregular theory of Fano 3-folds. Zbl 0417.14025Iskovskikh, V. A.; Shokurov, V. V. 4 1979 Letters of a bi-rationalist. I. A projectivity criterion. Zbl 0918.14007Shokurov, V. V. 4 1997 Mld’s vs thresholds and flips. Zbl 1194.14020Birkar, C.; Shokurov, V. V. 4 2010 The Noether-Enriques theorem on canonical curves. Zbl 0249.14009Shokurov, V. V. 3 1972 Modular symbols of arbitrary weight. Zbl 0345.14009Shokurov, V. V. 2 1976 Riemann surfaces and algebraic curves. Zbl 0787.14022Shokurov, V. V. 2 1988 On the closed cone of curves of algebraic 3-folds. Zbl 0565.14025Shokurov, V. V. 2 1985 On rational connectedness. Zbl 1047.14006Shokurov, V. V. 2 2000 Periods of cusp forms, and Kuga varieties. (Perioden von parabolischen Formen und Kuga-Mannigfaltigkeiten.) Zbl 0354.14008Shokurov, V. V. 1 1975 Algebraic curves and their Jacobians. Zbl 0735.14023Shokurov, V. V. 1 1989 Extremal contractions of three-dimensional algebraic varieties. Zbl 0604.14025Shokurov, V. V. 1 1983 Directional rational approximations with some applications to algebraic geometry. Zbl 1125.11333Borisov, A. A.; Shokurov, V. V. 1 2003 Riemann surfaces and algebraic curves. Introduction by I. R. Shafarevich. Zbl 0682.14015Shokurov, V. V. 1 1988 Numerical geometry of algebraic varieties. Zbl 0697.14009Shokurov, V. V. 1 1987 A criterion for semiampleness. Zbl 1390.14031Shokurov, Vyacheslav V. 1 2017 A criterion for semiampleness. Zbl 1390.14031Shokurov, Vyacheslav V. 1 2017 Geography of log models: theory and applications. Zbl 1234.14014Shokurov, Vyacheslav V.; Choi, Sung Rak 11 2011 Mld’s vs thresholds and flips. Zbl 1194.14020Birkar, C.; Shokurov, V. V. 4 2010 Towards the second main theorem on complements. Zbl 1159.14020Prokhorov, Yu. G.; Shokurov, V. V. 57 2009 Letters of a bi-rationalist. VII: Ordered termination. Zbl 1312.14041Shokurov, V. V. 14 2009 Birational models and flips. Zbl 1079.14023Iskovskikh, V. A.; Shokurov, V. V. 7 2005 Letters of a bi-rationalist. V: Minimal log discrepancy and termination of log flips. Zbl 1107.14012Shokurov, V. V. 17 2004 Prelimiting flips. Zbl 1082.14019Shokurov, V. V. 36 2003 Directional rational approximations with some applications to algebraic geometry. Zbl 1125.11333Borisov, A. A.; Shokurov, V. V. 1 2003 Letters of a bi-rationalist. IV: Geometry of log flips. Zbl 1058.14021Shokurov, Vyacheslav V. 6 2002 The first main theorem on complements: From global to local. Zbl 1068.14018Prokhorov, Yu. G.; Shokurov, V. V. 8 2001 Complements on surfaces. Zbl 1177.14078Shokurov, V. V. 34 2000 On rational connectedness. Zbl 1047.14006Shokurov, V. V. 2 2000 Algebraic curves, algebraic manifolds and schemes. Transl. from the Russian by D. Coray and V. N. Shokurov. 2nd printing of the 1st ed. 1994. Zbl 0901.14013Danilov, V. I.; Shokurov, V. V. 11 1998 Letters of a bi-rationalist. I. A projectivity criterion. Zbl 0918.14007Shokurov, V. V. 4 1997 3-fold log models. Zbl 0873.14014Shokurov, V. V. 50 1996 An addendum to the paper “3-fold log flips”. Zbl 0828.14027Shokurov, V. V. 10 1993 Semistable 3-fold flips. Zbl 0860.14016Shokurov, V. V. 5 1993 3-fold log flips. Appendix by Yujiro Kawamata: The minimal discrepancy coefficients of terminal singularities in dimension three. Zbl 0785.14023Shokurov, V. V. 76 1992 Algebraic curves and their Jacobians. Zbl 0735.14023Shokurov, V. V. 1 1989 Riemann surfaces and algebraic curves. Zbl 0787.14022Shokurov, V. V. 2 1988 Riemann surfaces and algebraic curves. Introduction by I. R. Shafarevich. Zbl 0682.14015Shokurov, V. V. 1 1988 Numerical geometry of algebraic varieties. Zbl 0697.14009Shokurov, V. V. 1 1987 The non-vanishing theorem. Zbl 0605.14006Shokurov, V. V. 33 1986 On the closed cone of curves of algebraic 3-folds. Zbl 0565.14025Shokurov, V. V. 2 1985 Prym varieties: Theory and applications. Zbl 0572.14025Shokurov, V. V. 13 1984 Extremal contractions of three-dimensional algebraic varieties. Zbl 0604.14025Shokurov, V. V. 1 1983 Principles of algebraic geometry. Vol. 1, 2. Transl. from the English by V. I. Danilov, G. B. Shabat and V. V. Shokurov. (Printsipy algebraicheskoj geometrii. Tom 1, 2.) Zbl 0531.14002Griffiths, Phillip; Harris, Joseph 13 1982 Distinguishing Prymians from Jacobians. Zbl 0486.14007Shokurov, V. V. 10 1981 Shimura integrals of cusp forms. Zbl 0466.14014Shokurov, V. V. 6 1981 The study of the homology of Kuga varieties. Zbl 0462.14013Shokurov, V. V. 5 1981 Smoothness of the general anticanonical divisor on a Fano 3-fold. Zbl 0429.14012Shokurov, V. V. 13 1980 The existence of a straight line on Fano 3-folds. Zbl 0444.14027Shokurov, V. V. 13 1980 Shimura integrals of cusp forms. Zbl 0444.14030Shokurov, V. V. 8 1980 Smoothness of the general anti-canonical divisor on a Fano variety. Zbl 0407.14017Shokurov, V. V. 17 1979 Existence of a line on a Fano variety. Zbl 0422.14019Shokurov, V. V. 9 1979 Biregular theory of Fano 3-folds. Zbl 0417.14025Iskovskikh, V. A.; Shokurov, V. V. 4 1979 Holomorphic differential forms of higher degree on Kuga’s modular varieties. Zbl 0381.14006Shokurov, V. V. 5 1978 Modular symbols of arbitrary weight. Zbl 0345.14009Shokurov, V. V. 2 1976 Periods of cusp forms, and Kuga varieties. (Perioden von parabolischen Formen und Kuga-Mannigfaltigkeiten.) Zbl 0354.14008Shokurov, V. V. 1 1975 The Noether-Enriques theorem on canonical curves. Zbl 0249.14009Shokurov, V. V. 3 1972 The Noether-Enriques theorem on canonical curves. Zbl 0225.14017Shokurov, V. V. 5 1971 all cited Publications top 5 cited Publications all top 5 Cited by 304 Authors 26 Prokhorov, Yuriĭ Gennad’evich 17 Cheltsov, Ivan Anatol’evich 16 Birkar, Caucher 11 Hacon, Christopher Derek 9 Shramov, Konstantin Aleksandrovich 8 Cascini, Paolo 8 Gongyo, Yoshinori 8 McKernan, James 8 Park, Jihun 8 Zhang, De-Qi 7 Fujino, Osamu 7 Kawakita, Masayuki 6 Alexeev, Valery A. 6 Fukuma, Yoshiaki 6 Han, Jingjun 6 Lazić, Vladimir 6 Shokurov, Vyacheslav Vladimirovich 5 Choi, Sung Rak 5 Fujita, Kento 5 Jiang, Chen 5 Kollár, János 5 Xu, Chenyang 4 Chen, Meng 4 Favre, Charles 4 Fukuda, Shigetaka 4 Kawamata, Yujiro 4 Lee, Minho 4 Moraga Saez, Joaquín Leonardo 4 Mori, Shigefumi 4 Peternell, Thomas Martin 4 Pukhlikov, Aleksandr Valentinovich 4 Svaldi, Roberto 3 Ambro, Florin 3 Bernardara, Marcello 3 Campana, Frédéric 3 Dragović, Vladimir 3 Filipazzi, Stefano 3 Floris, Enrica 3 Gajić, Borislav 3 Hayakawa, Takayuki 3 Iskovskikh, Vasiliĭ Alekseevich 3 Liu, Wenfei 3 Matsuki, Kenji 3 Meng, Sheng 3 Paun, Mihai 3 Takagi, Hiromichi 3 Takagi, Shunsuke 2 Abban, Hamid 2 Ando, Tetsuya 2 Auel, Asher Natan 2 Ballico, Edoardo 2 Beltrametti, Mauro C. 2 Bolognesi, Michele 2 Brunault, François 2 Casagrande, Cinzia 2 Chen, Guodu 2 Chen, Jungkai Alfred 2 Chen, Weichung 2 Chen, Yifei 2 Corti, Alessio 2 de Fernex, Tommaso 2 Demailly, Jean-Pierre 2 Di Cerbo, Gabriele 2 Ejiri, Sho 2 Fukuoka, Takeru 2 Grassi, Antonella 2 Hashizume, Kenta 2 Helfgott, Harald Andrés 2 Hu, Zhengyu 2 Ihara, Kentaro 2 Ishii, Shihoko 2 Jonsson, Mattias 2 Kaloghiros, Anne-Sophie 2 Karzhemanov, Ilya 2 Lee, Seunghun 2 Lehmann, Brian 2 Li, Zhan 2 Maeda, Hidetoshi 2 Mustaţă, Mircea 2 Nakamura, Yusuke 2 Okawa, Shinnosuke 2 Possieri, Corrado 2 Sakovics, Dmitrijs 2 Schmitt, Johannes 2 Schwede, Karl E. 2 Su, Jihong 2 Tornambè, Antonio 2 Wiśńiewski, Jarosław Antoni 2 Yoshikawa, Shou 2 Zaidenberg, Mikhail G. 2 Zhao, Yicai 2 Zucconi, Francesco 1 Abramovich, Dan 1 Araujo, Carolina 1 Bajravani, Ali 1 Batyrev, Victor V. 1 Bavula, Vladimir V. 1 Bellaïche, Joël 1 Benoist, Olivier 1 Benveniste, Xavier ...and 204 more Authors all top 5 Cited in 99 Serials 19 Mathematische Annalen 17 Journal of Algebraic Geometry 16 Mathematische Zeitschrift 14 Compositio Mathematica 14 Manuscripta Mathematica 13 Duke Mathematical Journal 12 Journal of Pure and Applied Algebra 11 Annales de l’Institut Fourier 11 Journal of Mathematical Sciences (New York) 10 Advances in Mathematics 10 Transactions of the American Mathematical Society 9 Inventiones Mathematicae 8 Journal für die Reine und Angewandte Mathematik 8 International Journal of Mathematics 8 Proceedings of the Steklov Institute of Mathematics 7 Publications of the Research Institute for Mathematical Sciences, Kyoto University 7 Journal of the American Mathematical Society 6 Nagoya Mathematical Journal 5 Geometriae Dedicata 5 Michigan Mathematical Journal 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Central European Journal of Mathematics 5 European Journal of Mathematics 4 Communications in Algebra 4 Journal of Algebra 4 Journal of Soviet Mathematics 4 Proceedings of the Japan Academy. Series A 4 Documenta Mathematica 4 Annals of Mathematics. Second Series 4 Kyoto Journal of Mathematics 3 Mathematical Notes 3 Tôhoku Mathematical Journal. Second Series 3 The Journal of Geometric Analysis 3 Bulletin of the American Mathematical Society. New Series 3 Izvestiya: Mathematics 3 Geometry & Topology 3 Algebra & Number Theory 2 International Journal of Control 2 Rocky Mountain Journal of Mathematics 2 Russian Mathematical Surveys 2 Acta Mathematica 2 Acta Mathematica Vietnamica 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Publications Mathématiques 2 Journal of the Mathematical Society of Japan 2 Journal of Number Theory 2 Mathematische Nachrichten 2 Memoirs of the American Mathematical Society 2 Pacific Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Sbornik: Mathematics 2 Journal of the European Mathematical Society (JEMS) 2 Japanese Journal of Mathematics. 3rd Series 2 Science China. Mathematics 2 Forum of Mathematics, Sigma 2 EMS Surveys in Mathematical Sciences 2 Electronic Research Archive 1 Communications in Mathematical Physics 1 Israel Journal of Mathematics 1 Letters in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Journal of Geometry and Physics 1 Beiträge zur Algebra und Geometrie 1 American Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Collectanea Mathematica 1 Commentarii Mathematici Helvetici 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Journal of Differential Geometry 1 Monatshefte für Mathematik 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Siberian Mathematical Journal 1 Journal of Symbolic Computation 1 Applied Mathematics Letters 1 Science in China. Series A 1 Geometric and Functional Analysis. GAFA 1 Experimental Mathematics 1 Algebra Colloquium 1 Selecta Mathematica. New Series 1 The Ramanujan Journal 1 Vietnam Journal of Mathematics 1 Taiwanese Journal of Mathematics 1 Revista Matemática Complutense 1 Communications in Contemporary Mathematics 1 Journal of Applied Mathematics and Computing 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Milan Journal of Mathematics 1 Journal of Algebra and its Applications 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 International Journal of Geometric Methods in Modern Physics 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Journal of Mathematics 1 Research in the Mathematical Sciences 1 Arnold Mathematical Journal all top 5 Cited in 29 Fields 339 Algebraic geometry (14-XX) 37 Several complex variables and analytic spaces (32-XX) 25 Number theory (11-XX) 21 Commutative algebra (13-XX) 14 Dynamical systems and ergodic theory (37-XX) 10 Group theory and generalizations (20-XX) 8 Differential geometry (53-XX) 4 General algebraic systems (08-XX) 4 Functions of a complex variable (30-XX) 3 Manifolds and cell complexes (57-XX) 3 Mechanics of particles and systems (70-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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