Singular symplectic moduli spaces
代数几何
2009-11-11 v1
摘要
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 they do no admit projective symplectic resolutions.
引用
@article{arxiv.math/0504202,
title = {Singular symplectic moduli spaces},
author = {Dmitry Kaledin and Manfred Lehn and Christoph Sorger},
journal= {arXiv preprint arXiv:math/0504202},
year = {2009}
}