Cohomology of rational forms and a vanishing theorem on toric varieties

Details Cohomology of rational forms and a vanishing theorem on toric varieties Cohomology of rational forms and a vanishing theorem on toric varieties

2006-10-12

arxiv.org/abs/math/0610422v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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