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Birkar, Caucher

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Author ID: birkar.caucher Recent zbMATH articles by "Birkar, Caucher"
Published as: Birkar, C.; Birkar, Caucher
Homepage: https://www.dpmms.cam.ac.uk/~cb496/
External Links: MGP · Wikidata · GND
Awards: Fields Medal (2018)
Documents Indexed: 27 Publications since 2007, including 1 Book
Biographic References: 5 Publications

Publications by Year

Citations contained in zbMATH Open

25 Publications have been cited 577 times in 407 Documents Cited by Year
Existence of minimal models for varieties of log general type. Zbl 1210.14019
Birkar, Caucher; Cascini, Paolo; Hacon, Christopher D.; McKernan, James
338
2010
Existence of log canonical flips and a special LMMP. Zbl 1256.14012
Birkar, Caucher
28
2012
Singularities on the base of a Fano type fibration. Zbl 1348.14037
Birkar, Caucher
27
2016
Existence of flips and minimal models for 3-folds in char \(p\). Zbl 1346.14040
Birkar, Caucher
26
2016
Ascending chain condition for log canonical thresholds and termination of log flips. Zbl 1109.14018
Birkar, Caucher
17
2007
Existence of Mori fibre spaces for 3-folds in char \(p\). Zbl 1373.14019
Birkar, Caucher; Waldron, Joe
15
2017
On existence of log minimal models. II. Zbl 1226.14021
Birkar, Caucher
15
2011
On existence of log minimal models. Zbl 1197.14011
Birkar, Caucher
14
2010
The Iitaka conjecture \(C _{n, m}\) in dimension six. Zbl 1186.14015
Birkar, Caucher
14
2009
Anti-pluricanonical systems on Fano varieties. Zbl 07107180
Birkar, Caucher
12
2019
The augmented base locus of real divisors over arbitrary fields. Zbl 1388.14054
Birkar, Caucher
9
2017
Effectivity of Iitaka fibrations and pluricanonical systems of polarized pairs. Zbl 1348.14038
Birkar, Caucher; Zhang, De-Qi
9
2016
On existence of log minimal models and weak Zariski decompositions. Zbl 1255.14016
Birkar, Caucher
8
2012
Varieties fibred over abelian varieties with fibres of log general type. Zbl 1308.14014
Birkar, Caucher; Chen, Jungkai Alfred
7
2015
Log canonical pairs with good augmented base loci. Zbl 1314.14027
Birkar, Caucher; Hu, Zhengyu
7
2014
Log minimal models according to Shokurov. Zbl 1194.14021
Birkar, Caucher
6
2009
Iitaka \(C_{n,m}\) conjecture for 3-folds over finite fields. Zbl 1423.14219
Birkar, Caucher; Chen, Yifei; Zhang, Lei
5
2018
Polarized pairs, log minimal models, and Zariski decompositions. Zbl 1314.14028
Birkar, Caucher; Hu, Zhengyu
4
2014
Log canonical algebras and modules. Zbl 1291.14030
Birkar, Caucher
4
2013
Images of manifolds with semi-ample anti-canonical divisor. Zbl 1343.14012
Birkar, Caucher; Chen, Yifei
3
2016
Mld’s vs thresholds and flips. Zbl 1194.14020
Birkar, C.; Shokurov, V. V.
3
2010
Minimal models, flips and finite generation: a tribute to V.V. Shokurov and Y.-T. Siu. Zbl 1219.14021
Birkar, C.; Păun, M.
2
2011
On termination of log flips in dimension four. Zbl 1184.14026
Birkar, Caucher
2
2010
Singularities of linear systems and boundedness of Fano varieties. Zbl 07331713
Birkar, Caucher
1
2021
Birational geometry of algebraic varieties. Zbl 1441.14053
Birkar, Caucher
1
2018
Singularities of linear systems and boundedness of Fano varieties. Zbl 07331713
Birkar, Caucher
1
2021
Anti-pluricanonical systems on Fano varieties. Zbl 07107180
Birkar, Caucher
12
2019
Iitaka \(C_{n,m}\) conjecture for 3-folds over finite fields. Zbl 1423.14219
Birkar, Caucher; Chen, Yifei; Zhang, Lei
5
2018
Birational geometry of algebraic varieties. Zbl 1441.14053
Birkar, Caucher
1
2018
Existence of Mori fibre spaces for 3-folds in char \(p\). Zbl 1373.14019
Birkar, Caucher; Waldron, Joe
15
2017
The augmented base locus of real divisors over arbitrary fields. Zbl 1388.14054
Birkar, Caucher
9
2017
Singularities on the base of a Fano type fibration. Zbl 1348.14037
Birkar, Caucher
27
2016
Existence of flips and minimal models for 3-folds in char \(p\). Zbl 1346.14040
Birkar, Caucher
26
2016
Effectivity of Iitaka fibrations and pluricanonical systems of polarized pairs. Zbl 1348.14038
Birkar, Caucher; Zhang, De-Qi
9
2016
Images of manifolds with semi-ample anti-canonical divisor. Zbl 1343.14012
Birkar, Caucher; Chen, Yifei
3
2016
Varieties fibred over abelian varieties with fibres of log general type. Zbl 1308.14014
Birkar, Caucher; Chen, Jungkai Alfred
7
2015
Log canonical pairs with good augmented base loci. Zbl 1314.14027
Birkar, Caucher; Hu, Zhengyu
7
2014
Polarized pairs, log minimal models, and Zariski decompositions. Zbl 1314.14028
Birkar, Caucher; Hu, Zhengyu
4
2014
Log canonical algebras and modules. Zbl 1291.14030
Birkar, Caucher
4
2013
Existence of log canonical flips and a special LMMP. Zbl 1256.14012
Birkar, Caucher
28
2012
On existence of log minimal models and weak Zariski decompositions. Zbl 1255.14016
Birkar, Caucher
8
2012
On existence of log minimal models. II. Zbl 1226.14021
Birkar, Caucher
15
2011
Minimal models, flips and finite generation: a tribute to V.V. Shokurov and Y.-T. Siu. Zbl 1219.14021
Birkar, C.; Păun, M.
2
2011
Existence of minimal models for varieties of log general type. Zbl 1210.14019
Birkar, Caucher; Cascini, Paolo; Hacon, Christopher D.; McKernan, James
338
2010
On existence of log minimal models. Zbl 1197.14011
Birkar, Caucher
14
2010
Mld’s vs thresholds and flips. Zbl 1194.14020
Birkar, C.; Shokurov, V. V.
3
2010
On termination of log flips in dimension four. Zbl 1184.14026
Birkar, Caucher
2
2010
The Iitaka conjecture \(C _{n, m}\) in dimension six. Zbl 1186.14015
Birkar, Caucher
14
2009
Log minimal models according to Shokurov. Zbl 1194.14021
Birkar, Caucher
6
2009
Ascending chain condition for log canonical thresholds and termination of log flips. Zbl 1109.14018
Birkar, Caucher
17
2007
all top 5

Cited by 324 Authors

23 Xu, Chenyang
19 Birkar, Caucher
14 Zhang, De-Qi
12 Fujino, Osamu
12 Hacon, Christopher Derek
11 Cascini, Paolo
10 Gongyo, Yoshinori
9 Zeriahi, Ahmed
8 Fujita, Kento
8 Guedj, Vincent
8 Kollár, János
8 Lazić, Vladimir
8 Peternell, Thomas Martin
7 McKernan, James
7 Paun, Mihai
6 Boucksom, Sébastien
6 Campana, Frédéric
6 Kovács, Sándor J.
6 Meng, Sheng
6 Patakfalvi, Zsolt
6 Schwede, Karl E.
5 Araujo, Carolina
5 Casagrande, Cinzia
5 Choi, Sung Rak
5 Druel, Stéphane
5 Höring, Andreas
5 Lehmann, Brian
5 Li, Chi
5 Takagi, Shunsuke
5 Tanaka, Hiromu
4 Andreatta, Marco
4 Brown, Morgan V.
4 Cacciola, Salvatore
4 Cheltsov, Ivan Anatol’evich
4 Codogni, Giulio
4 Coskun, Izzet
4 de Fernex, Tommaso
4 Di Cerbo, Gabriele
4 Eyssidieux, Philippe
4 Guenancia, Henri
4 Han, Jingjun
4 Hashizume, Kenta
4 Kebekus, Stefan
4 Laface, Antonio
4 Massarenti, Alex
4 Moraga Saez, Joaquín Leonardo
4 Mustaţă, Mircea
4 Nakamura, Yusuke
4 Park, Jinhyung
4 Prokhorov, Yuriĭ Gennad’evich
4 Wang, Xiaowei
4 Zhang, Lei
4 Zhuang, Ziquan
3 Chen, Jungkai Alfred
3 Dubouloz, Adrien
3 Ein, Lawrence Man Hon
3 Galindo Pastor, Carlos
3 Greb, Daniel
3 Hassett, Brendan
3 Hu, Zhengyu
3 Hyeon, Donghoon David
3 Ito, Atsushi M.
3 Kawakita, Masayuki
3 Kawamata, Yujiro
3 Lopez, Angelo Felice
3 Monserrat, Francisco
3 Namikawa, Yoshinori
3 Odaka, Yuji
3 Prendergast-Smith, Artie
3 Shramov, Konstantin Aleksandrovich
3 Song, Jian
3 Svaldi, Roberto
3 Totaro, Burt
3 Tschinkel, Yuri
3 Tucker, Kevin
3 Urbinati, Stefano
3 Velasco, Mauricio
3 Waldron, Joe
2 Alexeev, Valery A.
2 Ambro, Florin
2 Anderson, Lara B.
2 Berman, Robert J.
2 Blum, Harold
2 Cao, Junyan
2 Castravet, Ana-Maria
2 Catanese, Fabrizio M. E.
2 Chen, Dawei
2 Chen, Meng
2 Chen, Weichung
2 Chen, Yifei
2 Chiecchio, Alberto
2 Corti, Alessio
2 Das, Omprokash
2 Debarre, Olivier
2 Demailly, Jean-Pierre
2 Dervan, Ruadhaí
2 Diemer, Colin
2 Dinew, Sławomir
2 Dumitrescu, Olivia
2 Edwards, Gregory
...and 224 more Authors
all top 5

Cited in 92 Serials

29 Advances in Mathematics
26 Mathematische Annalen
22 Compositio Mathematica
22 Mathematische Zeitschrift
17 Duke Mathematical Journal
13 Annales de l’Institut Fourier
12 Inventiones Mathematicae
12 Journal für die Reine und Angewandte Mathematik
12 Transactions of the American Mathematical Society
12 Journal of Algebraic Geometry
12 Annals of Mathematics. Second Series
8 Geometriae Dedicata
8 Journal of Algebra
8 International Journal of Mathematics
8 Journal of the European Mathematical Society (JEMS)
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Manuscripta Mathematica
7 Nagoya Mathematical Journal
7 Journal of the American Mathematical Society
6 Publications of the Research Institute for Mathematical Sciences, Kyoto University
5 Publications Mathématiques
5 Journal of Pure and Applied Algebra
5 Michigan Mathematical Journal
5 Proceedings of the Japan Academy. Series A
5 European Journal of Mathematics
4 Communications in Algebra
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Kyoto Journal of Mathematics
3 Proceedings of the American Mathematical Society
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Selecta Mathematica. New Series
3 Geometry & Topology
3 Central European Journal of Mathematics
3 Journal of the Institute of Mathematics of Jussieu
3 Algebra & Number Theory
3 Forum of Mathematics, Sigma
2 Communications on Pure and Applied Mathematics
2 Mathematical Notes
2 Acta Mathematica
2 Acta Mathematica Vietnamica
2 Archiv der Mathematik
2 Journal of the Mathematical Society of Japan
2 Proceedings of the London Mathematical Society. Third Series
2 Geometric and Functional Analysis. GAFA
2 Bulletin of the American Mathematical Society. New Series
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Experimental Mathematics
2 Documenta Mathematica
2 Transformation Groups
2 Taiwanese Journal of Mathematics
2 Acta Mathematica Sinica. English Series
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Milan Journal of Mathematics
2 Science China. Mathematics
2 The Journal of Software for Algebra and Geometry
2 Journal de l’École Polytechnique – Mathématiques
2 Peking Mathematical Journal
1 Journal of Mathematical Analysis and Applications
1 Nuclear Physics. B
1 Rocky Mountain Journal of Mathematics
1 Russian Mathematical Surveys
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Collectanea Mathematica
1 Glasgow Mathematical Journal
1 Journal of Differential Geometry
1 Journal of the London Mathematical Society. Second Series
1 Le Matematiche
1 Mathematische Nachrichten
1 Memoirs of the American Mathematical Society
1 Osaka Journal of Mathematics
1 Pacific Journal of Mathematics
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Bulletin of the Korean Mathematical Society
1 Revista Matemática Iberoamericana
1 Science in China. Series A
1 Sugaku Expositions
1 The Journal of Geometric Analysis
1 Izvestiya: Mathematics
1 Revista Matemática Complutense
1 LMS Journal of Computation and Mathematics
1 Journal of High Energy Physics
1 Oberwolfach Reports
1 Complex Variables and Elliptic Equations
1 Proceedings of the Steklov Institute of Mathematics
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Japanese Journal of Mathematics. 3rd Series
1 Bulletin of Mathematical Sciences
1 Forum of Mathematics, Pi
1 Journal of Mathematics
1 Research in the Mathematical Sciences
1 Bollettino dell’Unione Matematica Italiana
1 Annales Henri Lebesgue

Citations by Year

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