Abstract
The cohomology of the complement of hyperplanes with 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 admitting weights for which the Orlik-Solomon algebra has non-vanishing cohomology, using decomposable relations arising from Latin hypercubes.
Citation
Yukihito KAWAHARA. "The Non-vanishing Cohomology of Orlik-Solomon Algebras." Tokyo J. Math. 30 (1) 223 - 238, June 2007. https://doi.org/10.3836/tjm/1184963658
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