Hyperbolic localization of intersection cohomology

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dc.creatorBraden, Tom
dc.date2002-02-24
dc.date2003-07-29
dc.date.accessioned2026-07-07T04:46:39Z
dc.date.available2026-07-07T04:46:39Z
dc.descriptionFor a normal variety X defined over an algebraically closed field with an action of the multiplicative group G_m, we consider the ``hyperbolic localization'' functor from D^b(X) to D^b(X^T), which localizes using closed supports in the directions flowing into the fixed points, and compact supports in the directions flowing out. We show that the hyperbolic localization of the intersection cohomology sheaf is a direct sum of intersection cohomology sheaves.
dc.description9 pages; extensive revisions
dc.identifierhttps://arxiv.org/abs/math/0202251
dc.identifierhttp://arxiv.org/abs/math/0202251
dc.identifierTransformation Groups 8 (2003), no. 3, 209-216
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63421
dc.subjectAlgebraic Geometry
dc.subject55N33, 14L30
dc.titleHyperbolic localization of intersection cohomology
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