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## Shokurov, Vyacheslav Vladimirovich

Compute Distance To:
 Author ID: shokurov.vyacheslav-v Published as: Shokurov, V. V.; Shokurov, Vyacheslav; Shokurov, Vyacheslav V. Homepage: http://www.math.jhu.edu/~shokurov/ External Links: MGP · Math-Net.Ru · Wikidata · GND
 Documents Indexed: 55 Publications since 1971, including 4 Books Reviewing Activity: 7 Reviews Biographic References: 3 Publications
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#### Co-Authors

 38 single-authored 5 Prokhorov, Yuriĭ Gennad’evich 4 Iskovskikh, Vasiliĭ Alekseevich 3 Manin, Yuri Ivanovich 3 Nikulin, Vyacheslav Valentinovich 3 Parshin, Alexei N. 3 Shafarevich, Igor’ Rostislavovich 2 Bogomolov, Fedor Alekseivich 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 Choi, Sung Rak 1 Danilov, Vladimir I. 1 Kawamata, Yujiro 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
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#### 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
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#### Fields

 50 Algebraic geometry (14-XX) 10 Number theory (11-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Several complex variables and analytic spaces (32-XX) 2 Functions of a complex variable (30-XX) 1 Mathematical logic and foundations (03-XX)

#### Citations contained in zbMATH

41 Publications have been cited 424 times in 316 Documents Cited by Year
3-fold log flips. Appendix by Yujiro Kawamata: The minimal discrepancy coefficients of terminal singularities in dimension three. Zbl 0785.14023
Shokurov, V. V.
1992
3-fold log models. Zbl 0873.14014
Shokurov, V. V.
1996
Towards the second main theorem on complements. Zbl 1159.14020
Prokhorov, Yu. G.; Shokurov, V. V.
2009
The non-vanishing theorem. Zbl 0605.14006
Shokurov, V. V.
1986
Complements on surfaces. Zbl 1177.14078
Shokurov, V. V.
2000
Prelimiting flips. Zbl 1082.14019
Shokurov, V. V.
2003
Smoothness of the general anti-canonical divisor on a Fano variety. Zbl 0407.14017
Shokurov, V. V.
1979
Letters of a bi-rationalist. V: Minimal log discrepancy and termination of log flips. Zbl 1107.14012
Shokurov, V. V.
2004
The existence of a straight line on Fano 3-folds. Zbl 0444.14027
Shokurov, V. V.
1980
Smoothness of the general anticanonical divisor on a Fano 3-fold. Zbl 0429.14012
Shokurov, V. V.
1980
Letters of a bi-rationalist. VII: Ordered termination. Zbl 1312.14041
Shokurov, V. V.
2009
Prym varieties: Theory and applications. Zbl 0572.14025
Shokurov, V. V.
1984
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 0901.14013
Danilov, V. I.; Shokurov, V. V.
1998
An addendum to the paper “3-fold log flips”. Zbl 0828.14027
Shokurov, V. V.
1993
Distinguishing Prymians from Jacobians. Zbl 0486.14007
Shokurov, V. V.
1981
Geography of log models: theory and applications. Zbl 1234.14014
Shokurov, Vyacheslav V.; Choi, Sung Rak
2011
Shimura integrals of cusp forms. Zbl 0444.14030
Shokurov, V. V.
1980
Existence of a line on a Fano variety. Zbl 0422.14019
Shokurov, V. V.
1979
Birational models and flips. Zbl 1079.14023
Iskovskikh, V. A.; Shokurov, V. V.
2005
Shimura integrals of cusp forms. Zbl 0466.14014
Shokurov, V. V.
1981
The Noether-Enriques theorem on canonical curves. Zbl 0225.14017
Shokurov, V. V.
1971
Letters of a bi-rationalist. IV: Geometry of log flips. Zbl 1058.14021
Shokurov, Vyacheslav V.
2002
Semistable 3-fold flips. Zbl 0860.14016
Shokurov, V. V.
1993
The study of the homology of Kuga varieties. Zbl 0462.14013
Shokurov, V. V.
1981
Holomorphic differential forms of higher degree on Kuga’s modular varieties. Zbl 0381.14006
Shokurov, V. V.
1978
The first main theorem on complements: From global to local. Zbl 1068.14018
Prokhorov, Yu. G.; Shokurov, V. V.
2001
Letters of a bi-rationalist. I. A projectivity criterion. Zbl 0918.14007
Shokurov, V. V.
1997
On the closed cone of curves of algebraic 3-folds. Zbl 0565.14025
Shokurov, V. V.
1985
Biregular theory of Fano 3-folds. Zbl 0417.14025
Iskovskikh, V. A.; Shokurov, V. V.
1979
The Noether-Enriques theorem on canonical curves. Zbl 0249.14009
Shokurov, V. V.
1972
Mld’s vs thresholds and flips. Zbl 1194.14020
Birkar, C.; Shokurov, V. V.
2010
On rational connectedness. Zbl 1047.14006
Shokurov, V. V.
2000
Modular symbols of arbitrary weight. Zbl 0345.14009
Shokurov, V. V.
1976
A criterion for semiampleness. Zbl 1390.14031
Shokurov, Vyacheslav V.
2017
Directional rational approximations with some applications to algebraic geometry. Zbl 1125.11333
Borisov, A. A.; Shokurov, V. V.
2003
Algebraic curves and their Jacobians. Zbl 0735.14023
Shokurov, V. V.
1989
Riemann surfaces and algebraic curves. Introduction by I. R. Shafarevich. Zbl 0682.14015
Shokurov, V. V.
1988
Riemann surfaces and algebraic curves. Zbl 0787.14022
Shokurov, V. V.
1988
Numerical geometry of algebraic varieties. Zbl 0697.14009
Shokurov, V. V.
1987
Extremal contractions of three-dimensional algebraic varieties. Zbl 0604.14025
Shokurov, V. V.
1983
Periods of cusp forms, and Kuga varieties. Zbl 0354.14008
Shokurov, V. V.
1975
A criterion for semiampleness. Zbl 1390.14031
Shokurov, Vyacheslav V.
2017
Geography of log models: theory and applications. Zbl 1234.14014
Shokurov, Vyacheslav V.; Choi, Sung Rak
2011
Mld’s vs thresholds and flips. Zbl 1194.14020
Birkar, C.; Shokurov, V. V.
2010
Towards the second main theorem on complements. Zbl 1159.14020
Prokhorov, Yu. G.; Shokurov, V. V.
2009
Letters of a bi-rationalist. VII: Ordered termination. Zbl 1312.14041
Shokurov, V. V.
2009
Birational models and flips. Zbl 1079.14023
Iskovskikh, V. A.; Shokurov, V. V.
2005
Letters of a bi-rationalist. V: Minimal log discrepancy and termination of log flips. Zbl 1107.14012
Shokurov, V. V.
2004
Prelimiting flips. Zbl 1082.14019
Shokurov, V. V.
2003
Directional rational approximations with some applications to algebraic geometry. Zbl 1125.11333
Borisov, A. A.; Shokurov, V. V.
2003
Letters of a bi-rationalist. IV: Geometry of log flips. Zbl 1058.14021
Shokurov, Vyacheslav V.
2002
The first main theorem on complements: From global to local. Zbl 1068.14018
Prokhorov, Yu. G.; Shokurov, V. V.
2001
Complements on surfaces. Zbl 1177.14078
Shokurov, V. V.
2000
On rational connectedness. Zbl 1047.14006
Shokurov, V. V.
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 0901.14013
Danilov, V. I.; Shokurov, V. V.
1998
Letters of a bi-rationalist. I. A projectivity criterion. Zbl 0918.14007
Shokurov, V. V.
1997
3-fold log models. Zbl 0873.14014
Shokurov, V. V.
1996
An addendum to the paper “3-fold log flips”. Zbl 0828.14027
Shokurov, V. V.
1993
Semistable 3-fold flips. Zbl 0860.14016
Shokurov, V. V.
1993
3-fold log flips. Appendix by Yujiro Kawamata: The minimal discrepancy coefficients of terminal singularities in dimension three. Zbl 0785.14023
Shokurov, V. V.
1992
Algebraic curves and their Jacobians. Zbl 0735.14023
Shokurov, V. V.
1989
Riemann surfaces and algebraic curves. Introduction by I. R. Shafarevich. Zbl 0682.14015
Shokurov, V. V.
1988
Riemann surfaces and algebraic curves. Zbl 0787.14022
Shokurov, V. V.
1988
Numerical geometry of algebraic varieties. Zbl 0697.14009
Shokurov, V. V.
1987
The non-vanishing theorem. Zbl 0605.14006
Shokurov, V. V.
1986
On the closed cone of curves of algebraic 3-folds. Zbl 0565.14025
Shokurov, V. V.
1985
Prym varieties: Theory and applications. Zbl 0572.14025
Shokurov, V. V.
1984
Extremal contractions of three-dimensional algebraic varieties. Zbl 0604.14025
Shokurov, V. V.
1983
Distinguishing Prymians from Jacobians. Zbl 0486.14007
Shokurov, V. V.
1981
Shimura integrals of cusp forms. Zbl 0466.14014
Shokurov, V. V.
1981
The study of the homology of Kuga varieties. Zbl 0462.14013
Shokurov, V. V.
1981
The existence of a straight line on Fano 3-folds. Zbl 0444.14027
Shokurov, V. V.
1980
Smoothness of the general anticanonical divisor on a Fano 3-fold. Zbl 0429.14012
Shokurov, V. V.
1980
Shimura integrals of cusp forms. Zbl 0444.14030
Shokurov, V. V.
1980
Smoothness of the general anti-canonical divisor on a Fano variety. Zbl 0407.14017
Shokurov, V. V.
1979
Existence of a line on a Fano variety. Zbl 0422.14019
Shokurov, V. V.
1979
Biregular theory of Fano 3-folds. Zbl 0417.14025
Iskovskikh, V. A.; Shokurov, V. V.
1979
Holomorphic differential forms of higher degree on Kuga’s modular varieties. Zbl 0381.14006
Shokurov, V. V.
1978
Modular symbols of arbitrary weight. Zbl 0345.14009
Shokurov, V. V.
1976
Periods of cusp forms, and Kuga varieties. Zbl 0354.14008
Shokurov, V. V.
1975
The Noether-Enriques theorem on canonical curves. Zbl 0249.14009
Shokurov, V. V.
1972
The Noether-Enriques theorem on canonical curves. Zbl 0225.14017
Shokurov, V. V.
1971
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#### Cited by 267 Authors

 22 Prokhorov, Yuriĭ Gennad’evich 15 Birkar, Caucher 15 Cheltsov, Ivan Anatol’evich 11 Hacon, Christopher Derek 9 Shramov, Konstantin Aleksandrovich 8 Gongyo, Yoshinori 8 McKernan, James 7 Kawakita, Masayuki 7 Park, Jihun 6 Alexeev, Valery A. 6 Cascini, Paolo 6 Fukuma, Yoshiaki 6 Shokurov, Vyacheslav Vladimirovich 6 Zhang, De-Qi 5 Choi, Sung Rak 5 Fujino, Osamu 5 Fujita, Kento 5 Lazić, Vladimir 4 Fukuda, Shigetaka 4 Kawamata, Yujiro 4 Lee, Minho 4 Peternell, Thomas Martin 4 Pukhlikov, Aleksandr Valentinovich 4 Xu, Chenyang 3 Ambro, Florin 3 Beltrametti, Mauro C. 3 Bernardara, Marcello 3 Campana, Frédéric 3 Chen, Meng 3 Dragović, Vladimir 3 Floris, Enrica 3 Gajić, Borislav 3 Hayakawa, Takayuki 3 Iskovskikh, Vasiliĭ Alekseevich 3 Kollár, János 3 Matsuki, Kenji 3 Mori, Shigefumi 3 Paun, Mihai 3 Takagi, Hiromichi 3 Takagi, Shunsuke 2 Ahmadinezhad, Hamid 2 Ando, Tetsuya 2 Auel, Asher Natan 2 Ballico, Edoardo 2 Bolognesi, Michele 2 Brunault, François 2 Chen, Jungkai Alfred 2 Chen, Weichung 2 Corti, Alessio 2 Demailly, Jean-Pierre 2 Favre, Charles 2 Han, Jingjun 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 Liu, Wenfei 2 Maeda, Hidetoshi 2 Meng, Sheng 2 Min Ho Lee 2 Moraga Saez, Joaquín Leonardo 2 Mustaţă, Mircea 2 Nakamura, Yusuke 2 Okawa, Shinnosuke 2 Possieri, Corrado 2 Sakovics, Dmitrijs 2 Su, Jihong 2 Svaldi, Roberto 2 Tornambè, Antonio 2 Wiśńiewski, Jarosław Antoni 2 Zhao, Yicai 2 Zucconi, Francesco 1 Abramovich, Dan 1 Ancona, Vincenzo 1 Araujo, Carolina 1 Bajravani, Ali 1 Batyrev, Victor V. 1 Bavula, Vladimir V. 1 Bellaïche, Joël 1 Benveniste, Xavier 1 Borisov, Lev A. 1 Borisova, P. I. 1 Boucksom, Sébastien 1 Broustet, Amaël 1 Brown, Gavin Dennis 1 Brown, Morgan V. 1 Casagrande, Cinzia 1 Casalaina-Martin, Sebastian 1 Chen, Yifei 1 Choie, YoungJu 1 Codogni, Giulio 1 Collins, Tristan Clifford 1 Contiero, André Luís 1 Coppens, Marc 1 Cutkosky, Steven Dale ...and 167 more Authors
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#### Cited in 89 Serials

 17 Mathematische Annalen 16 Journal of Algebraic Geometry 13 Mathematische Zeitschrift 11 Compositio Mathematica 11 Duke Mathematical Journal 11 Manuscripta Mathematica 11 Journal of Mathematical Sciences (New York) 10 Transactions of the American Mathematical Society 9 Annales de l’Institut Fourier 9 Journal of Pure and Applied Algebra 8 Advances in Mathematics 8 Inventiones Mathematicae 8 Proceedings of the Steklov Institute of Mathematics 7 Journal für die Reine und Angewandte Mathematik 7 Journal of the American Mathematical Society 6 International Journal of Mathematics 5 Geometriae Dedicata 5 Michigan Mathematical Journal 5 Nagoya Mathematical Journal 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Central European Journal of Mathematics 5 European Journal of Mathematics 4 Communications in Algebra 4 Journal of Soviet Mathematics 4 Proceedings of the Japan Academy. Series A 4 Kyoto Journal of Mathematics 3 Mathematical Notes 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal of Algebra 3 Tohoku Mathematical Journal. Second Series 3 The Journal of Geometric Analysis 3 Bulletin of the American Mathematical Society. New Series 3 Izvestiya: Mathematics 3 Documenta Mathematica 3 Annals of Mathematics. Second Series 2 International Journal of Control 2 Rocky Mountain Journal of Mathematics 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 Number Theory 2 Mathematische Nachrichten 2 Pacific Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Geometry & Topology 2 Journal of the European Mathematical Society (JEMS) 2 Japanese Journal of Mathematics. 3rd Series 2 Science China. Mathematics 1 Communications in Mathematical Physics 1 Israel Journal of Mathematics 1 Letters in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Russian Mathematical Surveys 1 Journal of Geometry and Physics 1 Beiträge zur Algebra und Geometrie 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Collectanea Mathematica 1 Functional Analysis and its Applications 1 Journal of the Mathematical Society of Japan 1 Memoirs of the American Mathematical Society 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 Sbornik: Mathematics 1 The Ramanujan Journal 1 Vietnam Journal of Mathematics 1 Taiwanese Journal of Mathematics 1 Revista Matemática Complutense 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 International Journal of Geometric Methods in Modern Physics 1 Algebra & Number Theory 1 Journal of Mathematics 1 Research in the Mathematical Sciences 1 Arnold Mathematical Journal
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#### Cited in 28 Fields

 291 Algebraic geometry (14-XX) 32 Several complex variables and analytic spaces (32-XX) 25 Number theory (11-XX) 19 Commutative algebra (13-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Group theory and generalizations (20-XX) 8 Differential geometry (53-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 General algebraic systems (08-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 Real functions (26-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-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)

#### Wikidata Timeline

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