Holomorphic symplectic geometry and orbifold singularities
Holomorphic symplectic geometry and orbifold singularities
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 reflections", i.e. symplectomorphisms with fixed space of codimension 2 in V. Symplectic resolutions are always semismall.A crepant resolution of …