Cohomology of $\mathbb{Z}$-local systems on complex hyperplane arrangement complements

Abstract

We prove a Cohen-Dimca-Orlik type theorem for rank one $\mathbb{Z}$-local systems on complex hyperplane arrangement complements. This settles a recent conjecture of S. Sugawara.

arXiv commentv2: the paper is completely rewritten, an error in v1 is fixed