Maximal twisted Betti numbers of complex hyperplane arrangement complements
Algebraic Topology
2025-11-13 v1
Abstract
We show that the Betti numbers of a local system on the complement of an essential complex hyperplane arrangement are maximized precisely when the local system is constant. This result answers positively a recent question of Yoshinaga and the first author.
Keywords
Cite
@article{arxiv.2511.08787,
title = {Maximal twisted Betti numbers of complex hyperplane arrangement complements},
author = {Yongqiang Liu and Laurentiu Maxim and Botong Wang},
journal= {arXiv preprint arXiv:2511.08787},
year = {2025}
}