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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2004, Volume 246, Pages 20–42
(Mi tm144)
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This article is cited in 31 scientific papers (total in 31 papers)
McKay Equivalence for Symplectic Resolutions of Quotient Singularities
R. V. Bezrukavnikova, D. B. Kaledinb
a Northwestern University
b Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
An arbitrary crepant resolution $X$ of the quotient $V/G$ of a symplectic vector space $V$ by the action of a finite subgroup $G\subset\mathrm{Sp}(V)$ is considered. It is proved that the derived category of coherent sheaves on $X$ is equivalent to the derived category of $G$-equivariant coherent sheaves on $V$.
Received in February 2004
Citation:
R. V. Bezrukavnikov, D. B. Kaledin, “McKay Equivalence for Symplectic Resolutions of Quotient Singularities”, Algebraic geometry: Methods, relations, and applications, Collected papers. Dedicated to the memory of Andrei Nikolaevich Tyurin, corresponding member of the Russian Academy of Sciences, Trudy Mat. Inst. Steklova, 246, Nauka, MAIK «Nauka/Inteperiodika», M., 2004, 20–42; Proc. Steklov Inst. Math., 246 (2004), 13–33
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https://www.mathnet.ru/eng/tm144 https://www.mathnet.ru/eng/tm/v246/p20
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