Cohomology of toric line bundles via simplicial Alexander duality - Mathematics > Algebraic GeometryReport as inadecuate




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Abstract: We give a rigorous mathematical proof for the validity of the toric sheafcohomology algorithm conjectured in the recent paper by R. Blumenhagen, B.Jurke, T. Rahn, and H. Roschy arXiv:1003.5217. We actually prove not only theoriginal algorithm but also a speed-up version of it. Our proof is independentfrom in fact appeared earlier on the arXiv than the proof by H. Roschy and T.Rahn arXiv:1006.2392, and has several advantages such as being shorter andcleaner and can also settle the additional conjecture on -Serre duality forBetti numbers- which was raised but unresolved in arXiv:1006.2392.



Author: Shin-Yao Jow

Source: https://arxiv.org/



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