Cohomology of rational forms and a vanishing theorem on toric varieties

2006/10/12 by Anvar Mavlyutov, Mavlyutov, Anvar · 1 citation
Mathematics · #14M25 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14M25

paper · pdf · doi:10.48550/arxiv.math/0610422

arxiv created 2006/10/12 · arxiv updated 2009/12/01

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.

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• Classifying weak Fano toric varieties of Picard rank 3

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