Derived Equivalences for Symplectic Reflection Algebras
Keyword(s):
Abstract In this paper we study derived equivalences for symplectic reflection algebras. We establish a version of the derived localization theorem between categories of modules over these algebras and categories of coherent sheaves over quantizations of $\mathbb{Q}$-factorial terminalizations of the symplectic quotient singularities. To do this we construct a Procesi sheaf on the terminalization and show that the quantizations of the terminalization are simple sheaves of algebras. We will also sketch some applications to the generalized Bernstein inequality and to perversity of wall crossing functors.
2017 ◽
Vol 2019
(18)
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pp. 5777-5810
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2006 ◽
Vol 205
(2)
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pp. 599-630
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2014 ◽
Vol 21
(3)
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pp. 308-335
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2018 ◽
Vol 2018
(735)
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pp. 1-107
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2007 ◽
Vol 82
(2-3)
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pp. 237-253
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2008 ◽
Vol 13
(3-4)
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pp. 541-556
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2006 ◽
Vol 304
(1)
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pp. 577-601
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