Weights in the cohomology of toric varieties

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 $I{H}_T^{\ast }(X)\otimes H^{\ast }(T)$. We also describe the weight filtration in $I{H}^{\ast }(X)$.

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

References in corpus (1)

• Equivariant Todd Classes for Toric Varieties