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

TL;DR

This paper proves a theorem about the cohomology of rank one integer local systems on complex hyperplane arrangement complements, confirming a recent conjecture and advancing understanding in this area.

Contribution

It establishes a Cohen-Dimca-Orlik type theorem for rank one $Z$-local systems, settling Sugawara's conjecture.

Findings

Proved a Cohen-Dimca-Orlik type theorem for $Z$-local systems

Confirmed a recent conjecture of Sugawara

Enhanced understanding of cohomology in hyperplane arrangements

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.