Volume 23, issue 1 (2019)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 29
Issue 2, 549–862
Issue 1, 1–548

Volume 28, 9 issues

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1364-0380 (online)
ISSN 1465-3060 (print)
Author Index
To Appear
 
Other MSP Journals
Birational models of moduli spaces of coherent sheaves on the projective plane

Chunyi Li and Xiaolei Zhao

Geometry & Topology 23 (2019) 347–426
Bibliography
1 T Abe, Strange duality for height zero moduli spaces of sheaves on 2, Michigan Math. J. 64 (2015) 569 MR3394260
2 D Arcara, A Bertram, I Coskun, J Huizenga, The minimal model program for the Hilbert scheme of points on 2 and Bridgeland stability, Adv. Math. 235 (2013) 580 MR3010070
3 D Auroux, L Katzarkov, D Orlov, Mirror symmetry for del Pezzo surfaces : vanishing cycles and coherent sheaves, Invent. Math. 166 (2006) 537 MR2257391
4 A Bayer, M Lahoz, E Macrì, P Stellari, X Zhao, The Torelli theorem for cubic fourfolds, arXiv:1703.10839
5 A Bayer, E Macrì, The space of stability conditions on the local projective plane, Duke Math. J. 160 (2011) 263 MR2852118
6 A Bayer, E Macrì, MMP for moduli of sheaves on K3s via wall-crossing : nef and movable cones, Lagrangian fibrations, Invent. Math. 198 (2014) 505 MR3279532
7 A Bayer, E Macrì, Projectivity and birational geometry of Bridgeland moduli spaces, J. Amer. Math. Soc. 27 (2014) 707 MR3194493
8 A Bayer, E Macrì, P Stellari, The space of stability conditions on abelian threefolds, and on some Calabi–Yau threefolds, Invent. Math. 206 (2016) 869 MR3573975
9 A Bertram, C Martinez, J Wang, The birational geometry of moduli spaces of sheaves on the projective plane, Geom. Dedicata 173 (2014) 37 MR3275289
10 T Bridgeland, Stability conditions on triangulated categories, Ann. of Math. 166 (2007) 317 MR2373143
11 T Bridgeland, Stability conditions on K3 surfaces, Duke Math. J. 141 (2008) 241 MR2376815
12 I Coskun, J Huizenga, Interpolation, Bridgeland stability and monomial schemes in the plane, J. Math. Pures Appl. 102 (2014) 930 MR3271294
13 I Coskun, J Huizenga, The birational geometry of the moduli spaces of sheaves on 2, from: "Proceedings of the Gökova Geometry–Topology Conference 2014" (editors S Akbulut, D Auroux, T Önder), International (2015) 114 MR3381441
14 I Coskun, J Huizenga, The ample cone of moduli spaces of sheaves on the plane, Algebr. Geom. 3 (2016) 106 MR3455422
15 I Coskun, J Huizenga, M Woolf, The effective cone of the moduli space of sheaves on the plane, J. Eur. Math. Soc. 19 (2017) 1421 MR3635357
16 P Deligne, Cohomologie étale (SGA 4), 569, Springer (1977) MR0463174
17 I V Dolgachev, Y Hu, Variation of geometric invariant theory quotients, Inst. Hautes Études Sci. Publ. Math. 87 (1998) 5 MR1659282
18 J M Drezet, J Le Potier, Fibrés stables et fibrés exceptionnels sur 2, Ann. Sci. École Norm. Sup. 18 (1985) 193 MR816365
19 V Ginzburg, Lectures on Nakajima’s quiver varieties, from: "Geometric methods in representation theory, I" (editor M Brion), Sémin. Congr. 24, Soc. Math. France (2012) 145 MR3202703
20 A L Gorodentsev, A N Rudakov, Exceptional vector bundles on projective spaces, Duke Math. J. 54 (1987) 115 MR885779
21 A Grothendieck, Éléments de géométrie algébrique, III : Étude cohomologique des faisceaux cohérents, I, Inst. Hautes Études Sci. Publ. Math. 11 (1961) 167 MR0163910
22 D Kaledin, M Lehn, C Sorger, Singular symplectic moduli spaces, Invent. Math. 164 (2006) 591 MR2221132
23 A D King, Moduli of representations of finite-dimensional algebras, Quart. J. Math. Oxford Ser. 45 (1994) 515 MR1315461
24 J Le Potier, Lectures on vector bundles, 54, Cambridge Univ. Press (1997) MR1428426
25 C Li, X Zhao, Smoothness and Poisson structures of Bridgeland moduli spaces on Poisson surfaces, preprint (2016) arXiv:1612.02729
26 C Li, X Zhao, The minimal model program for deformations of Hilbert schemes of points on the projective plane, Algebr. Geom. 5 (2018) 328 MR3800356
27 A Maciocia, Computing the walls associated to Bridgeland stability conditions on projective surfaces, Asian J. Math. 18 (2014) 263 MR3217637
28 E Macrì, Stability conditions on curves, Math. Res. Lett. 14 (2007) 657 MR2335991
29 E Macrì, B Schmidt, Lectures on Bridgeland stability, from: "Moduli of curves" (editors L Brambila Paz, C Ciliberto, E Esteves, M Melo, C Voisin), Lect. Notes Unione Mat. Ital. 21, Springer (2017) 139 MR3729077
30 A Marian, X Zhao, On the group of zero-cycles of holomorphic symplectic varieties, preprint (2017) arXiv:1711.10045
31 D O Orlov, Projective bundles, monoidal transformations, and derived categories of coherent sheaves, Izv. Ross. Akad. Nauk Ser. Mat. 56 (1992) 852 MR1208153
32 M Thaddeus, Geometric invariant theory and flips, J. Amer. Math. Soc. 9 (1996) 691 MR1333296
33 M Woolf, Nef and effective cones on the moduli space of torsion sheaves on the projective plane, preprint (2013) arXiv:1305.1465