English

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

Algebraic Topology 2023-07-06 v2 Algebraic Geometry

Abstract

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

Keywords

Cite

@article{arxiv.2209.13193,
  title  = {Cohomology of $\mathbb{Z}$-local systems on complex hyperplane arrangement complements},
  author = {Yongqiang Liu and Laurenţiu Maxim and Botong Wang},
  journal= {arXiv preprint arXiv:2209.13193},
  year   = {2023}
}

Comments

v2: the paper is completely rewritten, an error in v1 is fixed