Weights in the cohomology of toric varieties

Details Weights in the cohomology of toric varieties Weights in the cohomology of toric varieties

2003-01-27

arxiv.org/abs/math/0301314v3

Mathematics

Algebraic Geometry

14 pages. Final version to appear in Central European Journal of Mathematics

Scientific paper

We 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 $IH^*(X)$.

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