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arxiv: 1002.3129 · v2 · submitted 2010-02-16 · 🧮 math.AT · math.GT

Cohomology of hyperplane complements with group ring coefficients

classification 🧮 math.AT math.GT
keywords coefficientscohomologydegreefinitegrouphyperplaneringaffine
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We compute the cohomology with group ring coefficients of the complement of a finite collection of affine hyperplanes in a finite dimensional complex vector space. It is nonzero in exactly one degree, namely the degree equal to the rank of the hyperplane arrangement.

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