Computing Cohomology on Toric Varieties
Algebraic Geometry
2012-11-06 v1 High Energy Physics - Theory
Commutative Algebra
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.
Cite
@article{arxiv.1109.1571,
title = {Computing Cohomology on Toric Varieties},
author = {Benjamin Jurke},
journal= {arXiv preprint arXiv:1109.1571},
year = {2012}
}
Comments
10 pages; contribution to the proceedings of the String Math 2011 conference, UPenn, Philadelphia, June 6-11, 2011