# Cohomology of toric line bundles via simplicial Alexander duality

@article{Jow2011CohomologyOT, title={Cohomology of toric line bundles via simplicial Alexander duality}, author={Shin-Yao Jow}, journal={Journal of Mathematical Physics}, year={2011}, volume={52}, pages={033506-033506} }

We give a rigorous mathematical proof for the validity of the toric sheaf cohomology algorithm conjectured in the recent paper by Blumenhagen, Jurke, Rahn, and Roschy (arXiv:1003.5217). We actually prove not only the original algorithm but also a speed-up version of it. Our proof is independent from (in fact appeared earlier on the arXiv than) the proof by Roschy and Rahn (arXiv:1006.2392), and has several advantages such as being shorter and cleaner and can also settle the additional…

## 31 Citations

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