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Weights in the cohomology of toric varieties | Andrzej Weber
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27 Dec 2002 | Subject: | Algebraic Geometry | math.AG | Abstract: | 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 $IH^*(X)$. | Source: | arXiv, math.AG/0301314 | Services: | Forum | Review | PDF | Favorites |
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