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Singular symplectic moduli spaces |
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| Authors: | D. Kaledin M. Lehn Ch. Sorger |
| Affiliation: | 1. Independent University of Moscow, B. Vlassievski per. 11, Moscow, 119002, Russia 2. Fachbereich Physik, Mathematik und Informatik, Johannes Gutenberg-Universit?t Mainz, 55099, Mainz, Germany 3. Institut Universitaire de France et Laboratoire de Mathématiques Jean Leray, UMR 6629 du CNRS, Université de Nantes, 2, Rue de la Houssinière, BP 92208, 44322, Nantes Cedex 03, France |
| 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 ≥4 they do no admit projective symplectic resolutions. A la mémoire de Joseph Le Potier Mathematics Subject Classification (1991) 14J60, 14D20, 14J28, 32J27 |
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