%0 Journal Article %T Cohomology of Line Bundles: A Computational Algorithm %A Ralph Blumenhagen %A Benjamin Jurke %A Thorsten Rahn %A Helmut Roschy %J Mathematics %D 2010 %I arXiv %R 10.1063/1.3501132 %X 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. %U http://arxiv.org/abs/1003.5217v3