Singular symplectic moduli spaces

Abstract

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 $\ge 4$ they do no admit projective symplectic resolutions.

References in corpus (1)

• Symplectic singularities

Cited by in corpus (21)

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• The Kodaira dimension and singularities of moduli of stable sheaves on some elliptic surfaces
• Rational singularities for moment maps of totally negative quivers