Edit Profile (opens in new tab) Bayer, Arend Compute Distance To: Compute Author ID: bayer.arend Published as: Bayer, Arend Homepage: http://www.maths.ed.ac.uk/~abayer/ External Links: MGP · arXiv · Google Scholar · GND Documents Indexed: 19 Publications since 2004, including 1 Book 1 Further Contribution Biographic References: 1 Publication Co-Authors: 15 Co-Authors with 14 Joint Publications 367 Co-Co-Authors all top 5 Co-Authors 5 single-authored 7 Macrì, Emanuele 2 Manin, Yuriĭ Ivanovich 2 Stellari, Paolo 2 Toda, Yukinobu 1 Bertram, Aaron 1 Bridgeland, Tom 1 Cadman, Charles 1 Craw, Alastair 1 Hassett, Brendan 1 Lahoz, Martí 1 Li, Chunyi 1 Nuer, Howard J. 1 Ouchi, Genki 1 Perry, Alexander R. 1 Tschinkel, Yuri 1 Zhang, Ziyu all top 5 Serials 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Journal of Algebraic Geometry 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Compositio Mathematica 1 Publications Mathématiques 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Journal of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Selecta Mathematica. New Series 1 Geometry & Topology 1 Moscow Mathematical Journal 1 Pure and Applied Mathematics Quarterly Fields 20 Algebraic geometry (14-XX) 11 Category theory; homological algebra (18-XX) 1 Differential geometry (53-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 19 Publications have been cited 412 times in 232 Documents Cited by ▼ Year ▼ MMP for moduli of sheaves on \(K3\)s via wall-crossing: nef and movable cones, Lagrangian fibrations. Zbl 1308.14011Bayer, Arend; Macrì, Emanuele 82 2014 Projectivity and birational geometry of Bridgeland moduli spaces. Zbl 1314.14020Bayer, Arend; Macrì, Emanuele 68 2014 Bridgeland stability conditions on threefolds. I Bogomolov-Gieseker type inequalities. Zbl 1306.14005Bayer, Arend; Macrì, Emanuele; Toda, Yukinobu 50 2014 The space of stability conditions on abelian threefolds, and on some Calabi-Yau threefolds. Zbl 1360.14057Bayer, Arend; Macrì, Emanuele; Stellari, Paolo 35 2016 The space of stability conditions on the local projective plane. Zbl 1238.14014Bayer, Arend; Macrì, Emanuele 31 2011 Polynomial Bridgeland stability conditions and the large volume limit. Zbl 1171.14011Bayer, Arend 26 2009 Derived automorphism groups of \(K3\) surfaces of Picard rank 1. Zbl 1358.14019Bayer, Arend; Bridgeland, Tom 22 2017 Mori cones of holomorphic symplectic varieties of \(K3\) type. (Cônes de Mori des variétés symplectiques holomorphes de type \(K3\).) Zbl 1375.14124Bayer, Arend; Hassett, Brendan; Tschinkel, Yuri 22 2015 (Semi)simple exercises in quantum cohomology. Zbl 1077.14082Bayer, Arend; Manin, Yuri I. 15 2004 Quantum cohomology of \([\mathbb C^N/ \mu _r]\). Zbl 1223.14064Bayer, Arend; Cadman, Charles 11 2010 Semisimple quantum cohomology and blowups. Zbl 1080.14063Bayer, Arend 11 2004 Stability conditions in families. Zbl 1481.14033Bayer, Arend; Lahoz, Martí; Macrì, Emanuele; Nuer, Howard; Perry, Alexander; Stellari, Paolo 10 2021 Bridgeland stability conditions on threefolds. II: An application to Fujita’s conjecture. Zbl 1310.14026Bayer, Arend; Bertram, Aaron; Macrì, Emanuele; Toda, Yukinobu 10 2014 A short proof of the deformation property of Bridgeland stability conditions. Zbl 1448.14019Bayer, Arend 5 2019 Nef divisors for moduli spaces of complexes with compact support. Zbl 1367.14004Bayer, Arend; Craw, Alastair; Zhang, Ziyu 5 2017 Stability conditions, wall-crossing and weighted Gromov-Witten invariants. Zbl 1216.14051Bayer, Arend; Manin, Yu I. 5 2009 On entropy of spherical twists. With an Appendix by Arend Bayer. Zbl 1441.14063Ouchi, Genki 3 2020 Wall-crossing implies Brill-Noether: applications of stability conditions on surfaces. Zbl 1451.14048Bayer, Arend 3 2018 Brill-Noether theory for curves on generic abelian surfaces. Zbl 1452.14029Bayer, Arend; Li, Chunyi 1 2017 Stability conditions in families. Zbl 1481.14033Bayer, Arend; Lahoz, Martí; Macrì, Emanuele; Nuer, Howard; Perry, Alexander; Stellari, Paolo 10 2021 On entropy of spherical twists. With an Appendix by Arend Bayer. Zbl 1441.14063Ouchi, Genki 3 2020 A short proof of the deformation property of Bridgeland stability conditions. Zbl 1448.14019Bayer, Arend 5 2019 Wall-crossing implies Brill-Noether: applications of stability conditions on surfaces. Zbl 1451.14048Bayer, Arend 3 2018 Derived automorphism groups of \(K3\) surfaces of Picard rank 1. Zbl 1358.14019Bayer, Arend; Bridgeland, Tom 22 2017 Nef divisors for moduli spaces of complexes with compact support. Zbl 1367.14004Bayer, Arend; Craw, Alastair; Zhang, Ziyu 5 2017 Brill-Noether theory for curves on generic abelian surfaces. Zbl 1452.14029Bayer, Arend; Li, Chunyi 1 2017 The space of stability conditions on abelian threefolds, and on some Calabi-Yau threefolds. Zbl 1360.14057Bayer, Arend; Macrì, Emanuele; Stellari, Paolo 35 2016 Mori cones of holomorphic symplectic varieties of \(K3\) type. (Cônes de Mori des variétés symplectiques holomorphes de type \(K3\).) Zbl 1375.14124Bayer, Arend; Hassett, Brendan; Tschinkel, Yuri 22 2015 MMP for moduli of sheaves on \(K3\)s via wall-crossing: nef and movable cones, Lagrangian fibrations. Zbl 1308.14011Bayer, Arend; Macrì, Emanuele 82 2014 Projectivity and birational geometry of Bridgeland moduli spaces. Zbl 1314.14020Bayer, Arend; Macrì, Emanuele 68 2014 Bridgeland stability conditions on threefolds. I Bogomolov-Gieseker type inequalities. Zbl 1306.14005Bayer, Arend; Macrì, Emanuele; Toda, Yukinobu 50 2014 Bridgeland stability conditions on threefolds. II: An application to Fujita’s conjecture. Zbl 1310.14026Bayer, Arend; Bertram, Aaron; Macrì, Emanuele; Toda, Yukinobu 10 2014 The space of stability conditions on the local projective plane. Zbl 1238.14014Bayer, Arend; Macrì, Emanuele 31 2011 Quantum cohomology of \([\mathbb C^N/ \mu _r]\). Zbl 1223.14064Bayer, Arend; Cadman, Charles 11 2010 Polynomial Bridgeland stability conditions and the large volume limit. Zbl 1171.14011Bayer, Arend 26 2009 Stability conditions, wall-crossing and weighted Gromov-Witten invariants. Zbl 1216.14051Bayer, Arend; Manin, Yu I. 5 2009 (Semi)simple exercises in quantum cohomology. Zbl 1077.14082Bayer, Arend; Manin, Yuri I. 15 2004 Semisimple quantum cohomology and blowups. Zbl 1080.14063Bayer, Arend 11 2004 all cited Publications top 5 cited Publications all top 5 Cited by 252 Authors 12 Macrì, Emanuele 11 Toda, Yukinobu 10 Bayer, Arend 9 Lo, Jason 8 Li, Chunyi 7 Camere, Chiara 7 Mongardi, Giovanni 6 Stellari, Paolo 6 Yoshioka, Kōta 6 Zhao, Xiaolei 5 Coskun, Izzet 5 Huizenga, Jack 5 Zhang, Ziyu 4 Meachan, Ciaran 4 Schmidt, Benjamin 4 Smith, Ivan 4 Verbitsky, Misha 3 Bakker, Benjamin 3 Cattaneo, Alberto Sergio 3 Craw, Alastair 3 Fan, Yuwei 3 Fu, Lie 3 Haiden, Fabian 3 Iritani, Hiroshi 3 Katzarkov, Ludmil 3 Nuer, Howard J. 3 Ouchi, Genki 3 Pagani, Nicola 3 Pandharipande, Rahul 3 Perry, Alexander R. 3 Saccà, Giulia 3 Thomas, Richard Paul 3 Tseng, Hsian-Hua 2 Abe, Takeshi 2 Amerik, Ekaterina Yu. 2 Beckmann, Thorsten 2 Bertram, Aaron 2 Boissière, Samuel 2 Bousseau, Pierrick 2 Bridgeland, Tom 2 Chen, Huachen 2 Chung, Kiryong 2 Coates, Tom 2 Codogni, Giulio 2 Corti, Alessio 2 Cotti, Giordano 2 Debarre, Olivier 2 Farkas, Gavril 2 Feyzbakhsh, Soheyla 2 Flapan, Laure 2 Hassett, Brendan 2 Ishii, Akira 2 Kawatani, Kotaro 2 Ke, Huazhong 2 Knutsen, Andreas Leopold 2 Koseki, Naoki 2 Lahoz, Martí 2 Lehmann, Brian 2 Marian, Alina 2 Mehrotra, Sukhendu 2 Nakashima, Tohru 2 O’Grady, Kieran G. 2 Oprea, Dragos 2 Ottem, John Christian 2 Pertusi, Laura 2 Piyaratne, Dulip 2 Rota, Franco 2 Ryan, Tim 2 Sala, Francesco 2 Sarti, Alessandra 2 Sheridan, Nick 2 Teleman, Constantin 2 Tramel, Rebecca 2 Uehara, Hokuto 2 Verra, Alessandro 2 Wandel, Malte 2 Woodward, Christopher T. 2 Woolf, Matthew 2 Xia, Bingyu 2 Yanagida, Shintarou 1 Addington, Nicolas M. 1 Alagal, Wafa 1 Antieau, Benjamin 1 Arbarello, Enrico 1 Arcara, Daniele 1 Ballard, Matthew Robert 1 Barros, Ignacio 1 Bellamy, Gwyn 1 Bergh, Daniel 1 Beri, Pietro 1 Bogomolov, Fedor Alekseivich 1 Bolognese, Barbara 1 Bruzzo, Ugo 1 Bryan, Jim 1 Buchweitz, Ragnar-Olaf 1 Budur, Nero 1 Canonaco, Alberto 1 Casagrande, Cinzia 1 Cattaneo, Andrea 1 Ceyhan, Özgür ...and 152 more Authors all top 5 Cited in 72 Serials 21 Mathematische Zeitschrift 19 Advances in Mathematics 9 Compositio Mathematica 9 Inventiones Mathematicae 9 Transactions of the American Mathematical Society 9 Selecta Mathematica. New Series 8 Journal of Algebraic Geometry 7 Manuscripta Mathematica 7 Kyoto Journal of Mathematics 6 Journal of Geometry and Physics 5 Journal of Pure and Applied Algebra 5 Mathematische Annalen 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Annales de l’Institut Fourier 4 Duke Mathematical Journal 4 Journal of Algebra 4 Journal of the London Mathematical Society. Second Series 4 Journal für die Reine und Angewandte Mathematik 4 Nagoya Mathematical Journal 4 Proceedings of the American Mathematical Society 4 Journal of the European Mathematical Society (JEMS) 3 Geometriae Dedicata 3 Publications Mathématiques 3 Journal of the American Mathematical Society 3 International Journal of Mathematics 3 Geometry & Topology 3 Communications in Contemporary Mathematics 3 Journal of the Institute of Mathematics of Jussieu 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Communications in Algebra 2 Forum of Mathematics, Sigma 2 European Journal of Mathematics 2 Journal de l’École Polytechnique – Mathématiques 1 Communications in Mathematical Physics 1 Israel Journal of Mathematics 1 Letters in Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Canadian Mathematical Bulletin 1 Hiroshima Mathematical Journal 1 Journal of Differential Geometry 1 Journal of the Mathematical Society of Japan 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Tôhoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Sugaku Expositions 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Bulletin des Sciences Mathématiques 1 Documenta Mathematica 1 Revista Matemática Complutense 1 Acta Mathematica Sinica. English Series 1 Journal of High Energy Physics 1 Advances in Geometry 1 Milan Journal of Mathematics 1 Central European Journal of Mathematics 1 Journal of Algebra and its Applications 1 Oberwolfach Reports 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Noncommutative Geometry 1 Algebra & Number Theory 1 Journal of Gökova Geometry Topology GGT 1 Science China. Mathematics 1 Annals of PDE 1 Bollettino dell’Unione Matematica Italiana all top 5 Cited in 23 Fields 218 Algebraic geometry (14-XX) 46 Category theory; homological algebra (18-XX) 39 Differential geometry (53-XX) 22 Several complex variables and analytic spaces (32-XX) 11 Associative rings and algebras (16-XX) 6 Number theory (11-XX) 6 Quantum theory (81-XX) 5 Commutative algebra (13-XX) 3 Algebraic topology (55-XX) 3 Manifolds and cell complexes (57-XX) 2 Nonassociative rings and algebras (17-XX) 2 \(K\)-theory (19-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year