Cohomology of Line Bundles: Proof of the Algorithm
High Energy Physics - Theory
2010-11-11 v1 Commutative Algebra
Algebraic Geometry
Abstract
We present a proof of the algorithm for computing line bundle valued cohomology classes over toric varieties conjectured by R.~Blumenhagen, B.~Jurke and the authors (arXiv:1003.5217) and suggest a kind of Serre duality for combinatorial Betti numbers that we observed when computing examples.
Cite
@article{arxiv.1006.2392,
title = {Cohomology of Line Bundles: Proof of the Algorithm},
author = {Helmut Roschy and Thorsten Rahn},
journal= {arXiv preprint arXiv:1006.2392},
year = {2010}
}
Comments
Download of the implementation in C++: http://wwwth.mppmu.mpg.de/members/blumenha/cohomcalg