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## Siebert, Bernd

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 Author ID: siebert.bernd Published as: Siebert, B.; Siebert, Bernd External Links: MGP · Wikidata · GND Awards: Clay Research Award (2016)
 Documents Indexed: 30 Publications since 1992, including 1 Book
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#### Co-Authors

 7 single-authored 11 Gross, Mark 7 Tian, Gang 2 Schröer, Stefan 1 Abramovich, Dan 1 Catanese, Fabrizio M. E. 1 Chen, Qile 1 Hacon, Christopher Derek 1 Huybrechts, Daniel 1 Kawamata, Yujiro 1 Nishinou, Takeo 1 Pandharipande, Rahul 1 Ruddat, Helge P. 1 Xu, Chenyang
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#### Serials

 2 Duke Mathematical Journal 2 Mathematische Annalen 2 Turkish Journal of Mathematics 2 Annals of Mathematics. Second Series 2 Oberwolfach Reports 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Compositio Mathematica 1 Publications Mathématiques 1 Journal of Differential Geometry 1 Chinese Annals of Mathematics. Series B 1 Journal of the American Mathematical Society 1 Journal of Algebraic Geometry 1 The Asian Journal of Mathematics 1 Communications in Contemporary Mathematics
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#### Fields

 24 Algebraic geometry (14-XX) 10 Several complex variables and analytic spaces (32-XX) 7 Differential geometry (53-XX) 2 General and overarching topics; collections (00-XX) 2 Manifolds and cell complexes (57-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

25 Publications have been cited 476 times in 321 Documents Cited by Year
From real affine geometry to complex geometry. Zbl 1266.53074
Gross, Mark; Siebert, Bernd
2011
Toric degenerations of toric varieties and tropical curves. Zbl 1105.14073
Nishinou, Takeo; Siebert, Bernd
2006
Logarithmic Gromov-Witten invariants. Zbl 1281.14044
Gross, Mark; Siebert, Bernd
2013
On quantum cohomology rings of Fano manifolds and a formula of Vafa and Intriligator. Zbl 0974.14040
Siebert, Bernd; Tian, Gang
1997
Mirror symmetry via logarithmic degeneration data. I. Zbl 1107.14029
Gross, Mark; Siebert, Bernd
2006
The tropical vertex. Zbl 1205.14069
Gross, Mark; Pandharipande, Rahul; Siebert, Bernd
2010
On the holomorphicity of genus two Lefschetz fibrations. Zbl 1090.53072
Siebert, Bernd; Tian, Gang
2005
Mirror symmetry via logarithmic degeneration data. II. Zbl 1209.14033
Gross, Mark; Siebert, Bernd
2010
Affine manifolds, log structures, and mirror symmetry. Zbl 1063.14048
Gross, Mark; Siebert, Bernd
2003
On hyperelliptic $$C^\infty$$-Lefschetz fibrations of four-manifolds. Zbl 0948.57018
Siebert, Bernd; Tian, Gang
1999
Symplectic Gromov-Witten invariants. Zbl 0974.53064
Siebert, Bernd
1999
An invitation to toric degenerations. Zbl 1276.14057
Gross, Mark; Siebert, Bernd
2011
Virtual fundamental classes, global normal cones and Fulton’s canonical classes. Zbl 1083.14066
Siebert, Bernd
2004
Theta functions and mirror symmetry. Zbl 1354.14062
Gross, Mark; Siebert, Bernd
2016
An update on (small) quantum cohomology. Zbl 0932.14028
Siebert, Bernd
1999
Recursive relations for the cohomology ring of moduli spaces of stable bundles. Zbl 0898.14009
Siebert, Bernd; Tian, Gang
1995
Intrinsic mirror symmetry and punctured Gromov-Witten invariants. Zbl 1448.14039
Gross, Mark; Siebert, Bernd
2018
Local mirror symmetry in the tropics. Zbl 1373.14041
Gross, Mark; Siebert, Bernd
2014
Algebraic and symplectic Gromov-Witten invariants coincide. Zbl 0970.14030
Siebert, Bernd
1999
Lectures on pseudo-holomorphic curves and the symplectic isotopy problem. Zbl 1145.14012
Siebert, Bernd; Tian, Gang
2008
Weierstrass polynomials and plane pseudo-holomorphic curves. Zbl 1003.32006
Siebert, B.; Tian, Gang
2002
Fibre cycles of holomorphic maps. I: Local flattening. Zbl 0807.32011
Siebert, Bernd
1993
Irreducible degenerations of primary Kodaira surfaces. Zbl 1060.14053
Schröer, Stefan; Siebert, Bernd
2002
Fibre cycles of holomorphic maps. II: Fibre cycle space and canonical flattening. Zbl 0832.32007
Siebert, Bernd
1994
Toroidal crossings and logarithmic structures. Zbl 1102.14008
Schröer, Stefan; Siebert, Bernd
2006
Intrinsic mirror symmetry and punctured Gromov-Witten invariants. Zbl 1448.14039
Gross, Mark; Siebert, Bernd
2018
Theta functions and mirror symmetry. Zbl 1354.14062
Gross, Mark; Siebert, Bernd
2016
Local mirror symmetry in the tropics. Zbl 1373.14041
Gross, Mark; Siebert, Bernd
2014
Logarithmic Gromov-Witten invariants. Zbl 1281.14044
Gross, Mark; Siebert, Bernd
2013
From real affine geometry to complex geometry. Zbl 1266.53074
Gross, Mark; Siebert, Bernd
2011
An invitation to toric degenerations. Zbl 1276.14057
Gross, Mark; Siebert, Bernd
2011
The tropical vertex. Zbl 1205.14069
Gross, Mark; Pandharipande, Rahul; Siebert, Bernd
2010
Mirror symmetry via logarithmic degeneration data. II. Zbl 1209.14033
Gross, Mark; Siebert, Bernd
2010
Lectures on pseudo-holomorphic curves and the symplectic isotopy problem. Zbl 1145.14012
Siebert, Bernd; Tian, Gang
2008
Toric degenerations of toric varieties and tropical curves. Zbl 1105.14073
Nishinou, Takeo; Siebert, Bernd
2006
Mirror symmetry via logarithmic degeneration data. I. Zbl 1107.14029
Gross, Mark; Siebert, Bernd
2006
Toroidal crossings and logarithmic structures. Zbl 1102.14008
Schröer, Stefan; Siebert, Bernd
2006
On the holomorphicity of genus two Lefschetz fibrations. Zbl 1090.53072
Siebert, Bernd; Tian, Gang
2005
Virtual fundamental classes, global normal cones and Fulton’s canonical classes. Zbl 1083.14066
Siebert, Bernd
2004
Affine manifolds, log structures, and mirror symmetry. Zbl 1063.14048
Gross, Mark; Siebert, Bernd
2003
Weierstrass polynomials and plane pseudo-holomorphic curves. Zbl 1003.32006
Siebert, B.; Tian, Gang
2002
Irreducible degenerations of primary Kodaira surfaces. Zbl 1060.14053
Schröer, Stefan; Siebert, Bernd
2002
On hyperelliptic $$C^\infty$$-Lefschetz fibrations of four-manifolds. Zbl 0948.57018
Siebert, Bernd; Tian, Gang
1999
Symplectic Gromov-Witten invariants. Zbl 0974.53064
Siebert, Bernd
1999
An update on (small) quantum cohomology. Zbl 0932.14028
Siebert, Bernd
1999
Algebraic and symplectic Gromov-Witten invariants coincide. Zbl 0970.14030
Siebert, Bernd
1999
On quantum cohomology rings of Fano manifolds and a formula of Vafa and Intriligator. Zbl 0974.14040
Siebert, Bernd; Tian, Gang
1997
Recursive relations for the cohomology ring of moduli spaces of stable bundles. Zbl 0898.14009
Siebert, Bernd; Tian, Gang
1995
Fibre cycles of holomorphic maps. II: Fibre cycle space and canonical flattening. Zbl 0832.32007
Siebert, Bernd
1994
Fibre cycles of holomorphic maps. I: Local flattening. Zbl 0807.32011
Siebert, Bernd
1993
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#### Cited by 363 Authors

 11 Gross, Mark 10 Ruddat, Helge P. 10 Siebert, Bernd 9 Chen, Qile 9 Markwig, Hannah 9 Ranganathan, Dhruv 8 Wise, Jonathan 7 Lau, Siu-Cheong 7 Yu, Tony Yue 6 Korff, Christian 6 Zinger, Aleksey 5 Abramovich, Dan 5 Chan, Kwokwai 5 Kamada, Seiichi 5 Pandharipande, Rahul 5 Parker, Brett 5 Stoppa, Jacopo 5 Talpo, Mattia 4 Bertram, Aaron 4 Farajzadeh Tehrani, Mohammad 4 Katz, Eric 4 Katzarkov, Ludmil 4 Mandel, Travis 4 Oprea, Dragos 4 Park, B. Doug 4 Pelayo, Alvaro 4 Reineke, Markus 4 Rietsch, Konstanze 4 Sibilla, Nicolò 4 Smith, Ivan 4 van Garrel, Michel 4 Zhu, Yi 3 Auroux, Denis 3 Brugallé, Erwan 3 Skovsted Buch, Anders 3 Cavalieri, Renzo 3 Chen, Weimin 3 Cho, Yunhyung 3 Ciocan-Fontanine, Ionuţ 3 Endo, Hisaaki 3 Etgü, Tolga 3 Filippini, Sara Angela 3 Gathmann, Andreas 3 Hu, Jianxun 3 Kanazawa, Atsushi 3 Kresch, Andrew 3 Leung, Naichung Conan 3 Marcus, Steffen 3 Marian, Alina 3 Mikhalkin, Grigory B. 3 Nishinou, Takeo 3 Prince, Thomas M. 3 Ruan, Yongbin 3 Scherotzke, Sarah 3 Schröer, Stefan 3 Tamvakis, Harry 3 Tyomkin, Ilya 3 Ueda, Kazushi 3 Ulirsch, Martin 3 Vũ Ngọc, San 2 Baykur, Refik İnanç 2 Bousseau, Pierrick 2 Cheung, Man-Wai 2 Dimitroglou Rizell, Georgios 2 Feehan, Paul M. N. 2 Foster, Tyler 2 Fulton, William 2 Gholampour, Amin 2 Gorbounov, Vassily 2 Hacking, Paul 2 Hind, Richard K. 2 Ivrii, Alexander 2 Kasprzyk, Alexander M. 2 Keel, Sean 2 Kim, Bumsig 2 Leness, Thomas G. 2 Li, Changzheng 2 Li, Tian-Jun 2 Lin, Yu-Shen 2 Lu, Guangcun 2 Manivel, Laurent 2 McLean, Mark 2 Morrison, David R. 2 Muñoz Velázquez, Vicente 2 Nicaise, Johannes 2 Pascaleff, James 2 Pixton, Aaron 2 Santos-Parker, Keli 2 Scaduto, Christopher William 2 Sepe, Daniele 2 Shustin, Eugenii Isaakovich 2 Stapledon, Alan 2 Tachim Medjo, Theodore 2 Thaddeus, Michael 2 Thomas, Richard Paul 2 Tseng, Hsian-Hua 2 Weist, Thorsten 2 Yau, Shing-Tung 2 Yoshida, Yutaka 2 Zaslow, Eric ...and 263 more Authors
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#### Cited in 92 Serials

 37 Advances in Mathematics 17 Geometry & Topology 15 Compositio Mathematica 15 Transactions of the American Mathematical Society 12 Mathematische Annalen 10 Journal of Algebraic Geometry 9 Duke Mathematical Journal 9 Journal of the American Mathematical Society 9 Selecta Mathematica. New Series 9 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 8 Communications in Mathematical Physics 8 Topology and its Applications 6 Mathematische Zeitschrift 6 Proceedings of the American Mathematical Society 6 International Journal of Mathematics 5 Annales de l’Institut Fourier 5 Journal of the European Mathematical Society (JEMS) 4 Letters in Mathematical Physics 4 Journal of Geometry and Physics 4 Inventiones Mathematicae 4 Journal of Algebra 4 Journal für die Reine und Angewandte Mathematik 4 Manuscripta Mathematica 4 Forum of Mathematics, Sigma 3 Nuclear Physics. B 3 Geometriae Dedicata 3 Publications Mathématiques 3 Discrete & Computational Geometry 3 Advances in Geometry 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Gökova Geometry Topology GGT 2 Israel Journal of Mathematics 2 Journal of the London Mathematical Society. Second Series 2 Geometric and Functional Analysis. GAFA 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Algebraic Combinatorics 2 Annals of Mathematics. Second Series 2 Algebraic & Geometric Topology 2 Portugaliae Mathematica. Nova Série 2 Journal of the Institute of Mathematics of Jussieu 2 Forum of Mathematics, Pi 2 European Journal of Mathematics 1 Applicable Analysis 1 Communications in Algebra 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Rocky Mountain Journal of Mathematics 1 Arkiv för Matematik 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Journal of Combinatorial Theory. Series A 1 Journal of Differential Equations 1 Journal of the Mathematical Society of Japan 1 Journal of Pure and Applied Algebra 1 Mathematische Nachrichten 1 Michigan Mathematical Journal 1 Nagoya Mathematical Journal 1 Numerical Functional Analysis and Optimization 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Tohoku Mathematical Journal. Second Series 1 Bulletin of the Korean Mathematical Society 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 L’Enseignement Mathématique. 2e Série 1 Historia Mathematica 1 Expositiones Mathematicae 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Documenta Mathematica 1 Séminaire Lotharingien de Combinatoire 1 Transformation Groups 1 Taiwanese Journal of Mathematics 1 Algebras and Representation Theory 1 Annals of Combinatorics 1 Acta Mathematica Sinica. English Series 1 Journal of High Energy Physics 1 Annales Henri Poincaré 1 Complex Analysis and Operator Theory 1 Algebra & Number Theory 1 Journal of Topology and Analysis 1 Advances in Mathematical Physics 1 Science China. Mathematics 1 Transactions of the London Mathematical Society 1 Research in the Mathematical Sciences 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Transactions of the American Mathematical Society. Series B 1 Bollettino dell’Unione Matematica Italiana 1 Winter Braids Lecture Notes 1 Algebraic Combinatorics 1 Peking Mathematical Journal
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#### Cited in 36 Fields

 250 Algebraic geometry (14-XX) 114 Differential geometry (53-XX) 42 Manifolds and cell complexes (57-XX) 34 Several complex variables and analytic spaces (32-XX) 14 Combinatorics (05-XX) 13 Commutative algebra (13-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Quantum theory (81-XX) 9 Group theory and generalizations (20-XX) 9 Convex and discrete geometry (52-XX) 7 Algebraic topology (55-XX) 6 Category theory; homological algebra (18-XX) 6 Functions of a complex variable (30-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Associative rings and algebras (16-XX) 4 $$K$$-theory (19-XX) 4 Partial differential equations (35-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Ordinary differential equations (34-XX) 3 Geometry (51-XX) 2 Nonassociative rings and algebras (17-XX) 2 Functional analysis (46-XX) 2 General topology (54-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Topological groups, Lie groups (22-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX)

#### Wikidata Timeline

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