The non-vanishing cohomology of Orlik-Solomon algebras

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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.
13 pages, 7 figures

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Combinatorics, Algebraic Topology, 52C35; 32S22, 14F99

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http://salesiana.dossiersoluciones.com/handle/123456789/75544

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506421
 http://arxiv.org/abs/math/0506421

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arXiv