Hyperplane arrangements and linear strands in resolutions

Peeva, Irena

doi:10.1090/S0002-9947-02-03128-8

Hyperplane arrangements and linear strands in resolutions
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by Irena Peeva PDF

Trans. Amer. Math. Soc. 355 (2003), 609-618 Request permission

Abstract:

The cohomology ring of the complement of a central complex hyperplane arrangement is the well-studied Orlik-Solomon algebra. The homotopy group of the complement is interesting, complicated, and few results are known about it. We study the ranks for the lower central series of such a homotopy group via the linear strand of the minimal free resolution of the field $\mathbf {C}$ over the Orlik-Solomon algebra.

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