Cohomology of Line Bundles: Proof of the Algorithm
arXiv:1006.2392 · doi:10.1063/1.3501135
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.
Download of the implementation in C++: http://wwwth.mppmu.mpg.de/members/blumenha/cohomcalg