McKay equivalence for symplectic resolutions of singularities

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 $D_G^b(Coh(V))$ of $G$-equivariant coherent sheaves on $V$.

Errata appear in arXiv:1208.3696; the text of this submission is identical to the earlier version. Russian version available at http://imperium.lenin.ru/~kaledin/tex/

References in corpus (2)

• Localization of modules for a semisimple Lie algebra in prime characteristic
• Sommese Vanishing for non-compact manifolds

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