Cohomology of Line Bundles: Proof of the Algorithm

Details Cohomology of Line Bundles: Proof of the Algorithm Cohomology of Line Bundles: Proof of the Algorithm

2010-06-11

arxiv.org/abs/1006.2392v1

J. Math. Phys.51:103520, 2010

Physics

High Energy Physics

High Energy Physics - Theory

Download of the implementation in C++: http://wwwth.mppmu.mpg.de/members/blumenha/cohomcalg

Scientific paper

10.1063/1.3501135

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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