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Moscow Mathematical Journal, 2010, Volume 10, Number 1, Pages 3–29
DOI: https://doi.org/10.17323/1609-4514-2010-10-1-3-29 (Mi mmj373) 		 
This article is cited in 47 scientific papers (total in 47 papers)

Perverse coherent sheaves

Dmitry Arinkina, Roman Bezrukavnikovb

a Department of Mathematics, University of North Carolina at Chapel Hill, NC, USA
b Department of Mathematics, Massachusetts Institute of Technology, MA, USA
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DOI: https://doi.org/10.17323/1609-4514-2010-10-1-3-29
Abstract: This note introduces an analogue of perverse $t$-structure on the derived category of coherent sheaves on an algebraic stack (subject to some mild technical conditions). Under additional assumptions construction of coherent “intersection cohomology” sheaves is given. Those latter assumptions are rather restrictive but hold in some examples of interest in representation theory.
Similar results were obtained by Deligne (unpublished), Gabber and Kashiwara.
Key words and phrases: coherent perverse sheaves, coherent IC sheaves.
Received: September 30, 2008
Bibliographic databases:
Document Type: Article
MSC: Primary 18F20; Secondary 14A20, 14F05
Language: English
Citation: Dmitry Arinkin, Roman Bezrukavnikov, “Perverse coherent sheaves”, Mosc. Math. J., 10:1 (2010), 3–29
Citation in format AMSBIB
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\by Dmitry~Arinkin, Roman~Bezrukavnikov
\paper Perverse coherent sheaves
\jour Mosc. Math.~J.
\yr 2010
\vol 10
\issue 1
\pages 3--29
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\crossref{https://doi.org/10.17323/1609-4514-2010-10-1-3-29}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2668828}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000275847400001}
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    • This publication is cited in the following 47 articles:
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