Weights in cohomology of toric varieties

Andrzej Weber

14 pages
Central European Journal of Mathematics, Vol. 2 no. 3 p. (2004), 478-492,

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 $IH_T^*(X)\otimes H^*(T)$.