Weights in cohomology
of toric varieties
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 $IH_T^*(X)\otimes H^*(T)$.