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Singular symplectic moduli spaces
by
Manfred Lehn
Johannes Gutenberg Universität Mainz
Coauthors: Dmitry Kaledin, Christoph Sorger
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 spaces that do not belong to these exceptional cases have singularities in codimension ³ 4 they do not admit projective symplectic resolutions.
Paper reference: arXiv:math.AG/0504202
Date received: April 2, 2005
Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # caqo-90.