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arxiv: 1003.5217 · v3 · pith:QUNAM2ZVnew · submitted 2010-03-26 · ✦ hep-th · math.AG

Cohomology of Line Bundles: A Computational Algorithm

classification ✦ hep-th math.AG
keywords algorithmbundlescohomologycomputinglinetoricvarietiesadditional
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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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