Singular symplectic moduli spaces

• 成果类型: Article
• 署名作者: Kaledin, D; Lehn, M; Sorger, C
• 署名单位: Johannes Gutenberg University of Mainz; Nantes Universite; Institut Universitaire de France; Nantes Universite; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-005-0484-6
• 发表日期: 2006
• 页码: 591-614
• 关键词: marsden-weinstein reductions; stable sheaves; REPRESENTATIONS; VARIETIES; MANIFOLDS; ring

摘要

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.