Cohomology of Line Bundles: A Computational Algorithm
High Energy Physics - Theory
2010-11-11 v3 Algebraic Geometry
Abstract
We present an algorithm for computing line bundle valued cohomology classes over toric varieties. This is the basic starting point for computing massless modes in both heterotic and Type IIB/F-theory compactifications, where the manifolds of interest are complete intersections of hypersurfaces in toric varieties supporting additional vector bundles.
Cite
@article{arxiv.1003.5217,
title = {Cohomology of Line Bundles: A Computational Algorithm},
author = {Ralph Blumenhagen and Benjamin Jurke and Thorsten Rahn and Helmut Roschy},
journal= {arXiv preprint arXiv:1003.5217},
year = {2010}
}
Comments
11 pages, 1 figure, 2 tables; v2: typos and references corrected; v3: proof-related statements updated, cohomCalg implementation available at http://wwwth.mppmu.mpg.de/members/blumenha/cohomcalg/