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Weights in the cohomology of toric varieties

By Andrzej Weber


We describe the weight filtration in the cohomology of toric varieties. We present the role of the Frobenius automorphism in an elementary way. We prove that equivariant intersection homology of an arbitrary toric variety is pure. We also obtain a results concerning Koszul duality: nonequivariant intersection cohomology is equal to the cohomology of the Koszul complex IH ∗ T(X) ⊗ H ∗ (T).

Year: 2008
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