The non-vanishing cohomology of Orlik-Solomon algebras

Details The non-vanishing cohomology of Orlik-Solomon algebras The non-vanishing cohomology of Orlik-Solomon algebras

2005-06-21

arxiv.org/abs/math/0506421v1

Mathematics

Combinatorics

13 pages, 7 figures

Scientific paper

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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