On the existence of a crepant resolution of some moduli spaces of sheaves on an abelian surface
| dc.creator | Choy, Jaeyoo | |
| dc.creator | Kiem, Young-Hoon | |
| dc.date | 2005-05-12 | |
| dc.date.accessioned | 2026-07-07T05:19:49Z | |
| dc.date.available | 2026-07-07T05:19:49Z | |
| dc.description | Let J be an abelian surface with a generic ample line bundle O(1). For n>0, the moduli space M(2, 0, 2n) of O(1)-semistable sheaves F of rank 2 with Chern classes c_1(F) = 0, c_2(F) = 2n is a singular projective variety, endowed with a holomorphic symplectic structure on the smooth locus. In this paper, we show that there does not exist a crepant resolution of M(2; 0; 2n) for n>1. This certainly implies that there is no symplectic desingularization of M(2, 0, 2n) for n>1. | |
| dc.identifier | https://arxiv.org/abs/math/0505239 | |
| dc.identifier | http://arxiv.org/abs/math/0505239 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75162 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14D20 | |
| dc.title | On the existence of a crepant resolution of some moduli spaces of sheaves on an abelian surface | |
| dc.type | text |