Symplectic desingularization of moduli space of sheaves on a K3 surface
| dc.creator | Kiem, Young-Hoon | |
| dc.date | 2004-04-26 | |
| dc.date.accessioned | 2026-07-07T05:07:42Z | |
| dc.date.available | 2026-07-07T05:07:42Z | |
| dc.description | Let $X$ be a projective K3 surface with generic polarization $\cO_X(1)$ and let $M_c=M(2,0,c)$ be the moduli space of semistable torsion-free sheaves on $X$ of rank 2, with Chern classes $c_1=0$ and $c_2=c$. When $c=2n\ge 4$ is even, $M_c$ is a singular projective variety. We show that there is no symplectic desingularization of $M_{2n}$ if $\frac{n a_n}{2n-3}$ is not an integer where $a_n$ is the Euler number of the Hilbert scheme $X^{[n]}$ of $n$ points in $X$. | |
| dc.identifier | https://arxiv.org/abs/math/0404453 | |
| dc.identifier | http://arxiv.org/abs/math/0404453 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70965 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H60; 14F25; 14F42 | |
| dc.title | Symplectic desingularization of moduli space of sheaves on a K3 surface | |
| dc.type | text |