Computational Tools for Cohomology of Toric Varieties
Abstract
In this review, novel non-standard techniques for the computation of cohomology classes on toric varieties are summarized. After an introduction of the basic definitions and properties of toric geometry, we discuss a specific computational algorithm for the determination of the dimension of line-bundle valued cohomology groups on toric varieties. Applications to the computation of chiral massless matter spectra in string compactifications are discussed and, using the software package cohomCalg, its utility is highlighted on a new target space dual pair of (0,2) heterotic string models.
Keywords
Cite
@article{arxiv.1104.1187,
title = {Computational Tools for Cohomology of Toric Varieties},
author = {Ralph Blumenhagen and Benjamin Jurke and Thorsten Rahn},
journal= {arXiv preprint arXiv:1104.1187},
year = {2011}
}
Comments
17 pages, 4 tables; prepared for the special issue "Computational Algebraic Geometry in String and Gauge Theory" of Advances in High Energy Physics, cohomCalg implementation available at http://wwwth.mppmu.mpg.de/members/blumenha/cohomcalg/