Nonexistence of a crepant resolution of some moduli spaces of sheaves on a K3 surface
| dc.creator | Choy, Jaeyoo | |
| dc.creator | Kiem, Young-Hoon | |
| dc.date | 2004-07-07 | |
| dc.date | 2005-04-10 | |
| dc.date.accessioned | 2026-07-07T05:10:01Z | |
| dc.date.available | 2026-07-07T05:10:01Z | |
| dc.description | Let $M_c=M(2,0,c)$ be the moduli space of O(1)-semistable rank 2 torsion-free sheaves with Chern classes $c_1=0$ and $c_2=c$ on a K3 surface $X$ where O(1) is a generic ample line bundle on $X$. When $c=2n\geq4$ is even, $M_c$ is a singular projective variety equipped with a symplectic structure on the smooth locus. In this paper, we show that there is no crepant resolution of $M_{2n}$ for $n\geq 3$. This implies that there is no symplectic desingularization. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/math/0407100 | |
| dc.identifier | http://arxiv.org/abs/math/0407100 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71799 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 53D30 (Primary) 14J60 (Secondary) | |
| dc.title | Nonexistence of a crepant resolution of some moduli spaces of sheaves on a K3 surface | |
| dc.type | text |