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The non-vanishing cohomology of Orlik-Solomon algebras

Yukihito Kawahara
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Abstract

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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Yukihito Kawahara. 2005-06-21. The non-vanishing cohomology of Orlik-Solomon algebras. https://arxiv.org/abs/math/0506421

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