Cohomology of Line Bundles: A Computational Algorithm

Details Cohomology of Line Bundles: A Computational Algorithm Cohomology of Line Bundles: A Computational Algorithm

2010-03-26

arxiv.org/abs/1003.5217v3

J.Math.Phys.51:103525,2010

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 1 figure, 2 tables; v2: typos and references corrected; v3: proof-related statements updated, cohomCalg implementati

Scientific paper

10.1063/1.3501132

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.

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