2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66364We 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 $IH^*(X)$.14 pages. Final version to appear in Central European Journal of MathematicsAlgebraic Geometrytext