Cohomology of rational forms and a vanishing theorem on toric varieties

Anvar Mavlyutov

Published 2006-10-12Version 1

We 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.