Authors: Michael W Davis, Tadeusz Januszkiewicz, Ian J Leary and Boris Okun

Michael W Davis
Affiliation: 
The Ohio State University.  

Tadeusz Januszkiewicz
Affiliation: 
The Ohio State University and the Polish Academy of Sciences, 
on leave from Uniwersytet Wroclawski.  

Ian J Leary 
Affiliation: 
The Ohio State University.

Boris Okun 
Affiliation: 
University of Wisconsin-Milwaukee.  

Abstract: 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.  

Status: preprint