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arxiv: 1006.2392 · v1 · submitted 2010-06-11 · ✦ hep-th · math.AC· math.AG

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Cohomology of Line Bundles: Proof of the Algorithm

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classification ✦ hep-th math.ACmath.AG
keywords algorithmcohomologycomputinglineproofarxivauthorsbetti
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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.

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