Nonexistence of a crepant resolution of some moduli spaces of sheaves on a K3 surface

Details Nonexistence of a crepant resolution of some moduli spaces of sheaves on a K3 surface Nonexistence of a crepant resolution of some moduli spaces of sheaves on a K3 surface

2004-07-07

arxiv.org/abs/math/0407100v6

Mathematics

Algebraic Geometry

18 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Nonexistence of a crepant resolution of some moduli spaces of sheaves on a K3 surface does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Nonexistence of a crepant resolution of some moduli spaces of sheaves on a K3 surface, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonexistence of a crepant resolution of some moduli spaces of sheaves on a K3 surface will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-729273