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arXiv · 1109.1571

Computing Cohomology on Toric Varieties

Benjamin Jurke
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Abstract

In these notes a recently developed technique for the computation of line bundle-valued sheaf cohomology group dimensions on toric varieties is reviewed. The key result is a vanishing theorem for the contributing components which depends on the structure of the Stanley-Reisner ideal generators. A particular focus is placed on the (simplicial) Alexander duality that provides a central tool for the two known proofs of the algorithm.

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Benjamin Jurke. 2011-09-07. Computing Cohomology on Toric Varieties. https://arxiv.org/abs/1109.1571

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