2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/117953We explicitly describe cohomology of the sheaf of differential forms with poles along a semiample divisor on a complete simplicial toric variety. As an application, we obtain a new vanishing theorem which is an analogue of the Bott-Steenbrink-Danilov vanishing theorem.Algebraic Geometry14M25Cohomology of rational forms and a vanishing theorem on toric varietiestext