Desingularized moduli spaces of sheaves on a K3, II
Algebraic Geometry
2007-05-23 v1
Abstract
In preprint alg-geom/9708009 we have constructed a (ten-dimensional) symplectic desingularization of the moduli space of rank-two torsion-free semistable sheaves on a , with trivial determinant and second Chern class equal to 4. In the present paper we prove that (every deformation of) this desingularization is a new irreducible symplectic variety. More precisely we show that the desingularization is irreducible symplectic, and that its second Betti number is at least 24.
Keywords
Cite
@article{arxiv.math/9805099,
title = {Desingularized moduli spaces of sheaves on a K3, II},
author = {Kieran G. O'Grady},
journal= {arXiv preprint arXiv:math/9805099},
year = {2007}
}
Comments
plain tex, 19 pages