Weights in the cohomology of toric varieties

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dc.creatorWeber, Andrzej
dc.date2003-01-27
dc.date2004-06-16
dc.date.accessioned2026-07-07T04:54:43Z
dc.date.available2026-07-07T04:54:43Z
dc.descriptionWe describe the weight filtration in the cohomology of toric varieties. We present a role of the Frobenius automorphism in an elementary way. We prove that equivariant intersection homology of an arbitrary toric variety is pure. We obtain results concerning Koszul duality: nonequivariant intersection cohomology is equal to the cohomology of the Koszul complex $IH_T^*(X)\otimes H^*(T)$. We also describe the weight filtration in $IH^*(X)$.
dc.description14 pages. Final version to appear in Central European Journal of Mathematics
dc.identifierhttps://arxiv.org/abs/math/0301314
dc.identifierhttp://arxiv.org/abs/math/0301314
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66364
dc.subjectAlgebraic Geometry
dc.titleWeights in the cohomology of toric varieties
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