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McKay equivalence for symplectic resolutions of singularities

R. Bezrukavnikov·D. Kaledin
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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 $V$.

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BibTeXRIS

R. Bezrukavnikov, D. Kaledin. 2004-01-01. McKay equivalence for symplectic resolutions of singularities. https://arxiv.org/abs/math/0401002

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