Cohomology of rational forms and a vanishing theorem on toric varieties
Algebraic Geometry
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0610422,
title = {Cohomology of rational forms and a vanishing theorem on toric varieties},
author = {Anvar Mavlyutov},
journal= {arXiv preprint arXiv:math/0610422},
year = {2007}
}