Singular symplectic moduli spaces

Details Singular symplectic moduli spaces Singular symplectic moduli spaces

2005-04-10

arxiv.org/abs/math/0504202v1

Mathematics

Algebraic Geometry

Scientific paper

10.1007/s00222-005-0484-6

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.

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