The Non-vanishing Cohomology of Orlik-solomon Algebras

  • Published 2008


The cohomology on the complement of hyperplanes with the coefficients in the rank one local system associated to a generic weight vanishes except in the highest dimension. In this paper, we construct matroids or arrangements and its weights with non-vanishing cohomology of Orlik-Solomon algebras, using decomposable relations arising from Latin hypercubes.

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@inproceedings{KAWAHARA2008TheNC, title={The Non-vanishing Cohomology of Orlik-solomon Algebras}, author={YUKIHITO KAWAHARA}, year={2008} }