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Singular symplectic moduli spaces

Dmitry Kaledin·Manfred Lehn·Christoph Sorger
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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 $\geq4$ they do no admit projective symplectic resolutions.

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Dmitry Kaledin, Manfred Lehn, Christoph Sorger. 2005-04-10. Singular symplectic moduli spaces. https://doi.org/10.1007/s00222-005-0484-6

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