Tilting exercises

dc.creatorBeilinson, A.
dc.creatorBezrukavnikov, R.
dc.creatorMirkovic, I.
dc.date2003-01-10
dc.date2004-01-29
dc.date.accessioned2026-07-07T04:54:22Z
dc.date.available2026-07-07T04:54:22Z
dc.descriptionThis is an application of the theory of tilting objects to the geometric setting of perverse sheaves. We show that this theory is a natural framework for Beilinson's gluing of perverse sheaves construction. In the special case of Schubert stratification of a flag variety we get a short proof of Soergel's "Struktursatz", and describe (following a conjecture of Kapranov) Serre functor for category O. Some of our results were obtained independently by Rouquier.
dc.descriptionThis final version to appear in Moscow Math Journal differs very slightly from the previous one
dc.identifierhttps://arxiv.org/abs/math/0301098
dc.identifierhttp://arxiv.org/abs/math/0301098
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66222
dc.subjectRepresentation Theory
dc.subjectAlgebraic Geometry
dc.titleTilting exercises
dc.typetext

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