Holomorphic symplectic geometry and orbifold singularities

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dc.creatorVerbitsky, Misha
dc.date1999-03-30
dc.date2004-01-07
dc.date.accessioned2026-07-07T05:28:32Z
dc.date.available2026-07-07T05:28:32Z
dc.descriptionLet 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.
dc.descriptionThe proof of Claim 4.3 is corrected and simplified
dc.identifierhttps://arxiv.org/abs/math/9903175
dc.identifierhttp://arxiv.org/abs/math/9903175
dc.identifierAsian J. Math. 4 (2000), no. 3, 553-563
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78292
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subjectSymplectic Geometry
dc.titleHolomorphic symplectic geometry and orbifold singularities
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