1999/03/31 by Misha Verbitsky
Mathematics · #math.AG #math.CV #math.SG
published as Asian J. Math. 4 (2000), no. 3, 553-563 · The proof of Claim 4.3 is corrected and simplified
arxiv created 2004/01/07 · arxiv updated 2009/11/30
Let G be a finite group acting on a symplectic complex vector space V. Assume that the quotient V/G has a holomorphic symplectic resolution. We prove that G is generated by "symplectic reflectionsd"', i.e. symplectomorphisms with fixed space of codimension 2 in V. Symplectic resolutions are always semismall. A crepant resolution of V/G is always symplectic. We give a symplectic version of Nakamura conjectures.