McKay equivalence for symplectic resolutions of singularities

R. Bezrukavnikov; D. Kaledin

McKay equivalence for symplectic resolutions of singularities

Algebraic Geometry 2013-07-23 v2

Authors: R. Bezrukavnikov , D. Kaledin

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 $V$ .

Keywords

mcKay equivalence symplectic resolution crepant resolution derived category equivariant sheaves singularities

Cite

@article{arxiv.math/0401002,
  title  = {McKay equivalence for symplectic resolutions of singularities},
  author = {R. Bezrukavnikov and D. Kaledin},
  journal= {arXiv preprint arXiv:math/0401002},
  year   = {2013}
}

Comments

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/

McKay equivalence for symplectic resolutions of singularities

Abstract

Keywords

Cite

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