Singular symplectic moduli spaces

Moduli spaces of semistable sheaves on a K3 or abelian surface with respect to a general ample divisor are shown to be locally factorial, with the exception of symmetric products of a K3 or abelian surface and the class of moduli spaces found by O'Grady. Consequently, since singular moduli spac...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2005-04
Main Authors: Kaledin, Dmitry, Lehn, Manfred, Sorger, Christoph
Format: Article
Language:English
Subjects:
Sheaves
Singularities
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Moduli spaces of semistable sheaves on a K3 or abelian surface with respect to a general ample divisor are shown to be locally factorial, with the exception of symmetric products of a K3 or abelian surface and the class of moduli spaces found by O'Grady. Consequently, since singular moduli space that do not belong to these exceptional cases have singularities in codimension \(\geq4\) they do no admit projective symplectic resolutions.
ISSN:2331-8422
DOI:10.48550/arxiv.0504202