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arxiv: math/0510347 · v1 · submitted 2005-10-17 · 🧮 math.AG

Mukai flops and deformations of symplectic resolutions

classification 🧮 math.AG
keywords resolutionssymplecticflopsmukaiprojectivecodimensionconnecteddeformation
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We prove that two projective symplectic resolutions of $\cit^{2n}/G$ are connected by Mukai flops in codimension 2 for a finite sub-group $G < \Sp(2n)$. It is also shown that two projective symplectic resolutions of $\cit^4/G$ are deformation equivalent.

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