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McKay equivalence for symplectic resolutions of singularities

Research paper by R. Bezrukavnikov, D. Kaledin

Indexed on: 21 Jul '13Published on: 21 Jul '13Published in: Mathematics - Algebraic Geometry



Abstract

Let $V$ be a finite-dimensional symplectic vector space over a field of characteristic 0, and let $G \subset Sp(V)$ be a finite subgroup. We prove that for any crepant resolution $X \to V/G$, the bounded derived category $D^b(Coh(X))$ of coherent sheaves on $X$ is equivalent to the bounded derived category $D^b_G(Coh(V))$ of $G$-equivariant coherent sheaves on $V$.