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Moscow Mathematical Journal, 2004, Volume 4, Number 3, Pages 547–557
DOI: https://doi.org/10.17323/1609-4514-2004-4-3-547-557 (Mi mmj163) 		 
This article is cited in 49 scientific papers (total in 49 papers)

Tilting exercises

A. A. Beilinsona, R. V. Bezrukavnikovb, I. Mirkovićc

a University of Chicago
b Northwestern University
c Department of Mathematics and Statistics, University of Massachusetts
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DOI: https://doi.org/10.17323/1609-4514-2004-4-3-547-557
Abstract: We discuss tilting objects in categories of perverse sheaves smooth along some stratification. In case of the Schubert stratification we show that the Radon transform interchanges tilting, projective, and injective objects, and prove Kapranov's conjecture on the Serre functor.
Key words and phrases: Tilting objects, perverse sheaves, Serre functor.
Received: May 7, 2003
Bibliographic databases:
MSC: 14F05, 18E30
Language: English
Citation: A. A. Beilinson, R. V. Bezrukavnikov, I. Mirković, “Tilting exercises”, Mosc. Math. J., 4:3 (2004), 547–557
Citation in format AMSBIB
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\by A.~A.~Beilinson, R.~V.~Bezrukavnikov, I.~Mirkovi{\'c}
\paper Tilting exercises
\jour Mosc. Math.~J.
\yr 2004
\vol 4
\issue 3
\pages 547--557
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\crossref{https://doi.org/10.17323/1609-4514-2004-4-3-547-557}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2119139}
\zmath{https://zbmath.org/?q=an:1075.14015}
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