The homology groups of finite cyclic covering of line arrangement complement
arXiv:2312.10939 · doi:10.1016/j.topol.2025.109633
Abstract
In this paper, we study the first homology group of finite cyclic covering of complex line arrangement complement. We show that this first integral homology group is torsion-free under certain condition similar to the one used by Cohen-Dimca-Orlik. In particular, this includes the case of the Milnor fiber, which generalizes the previous results obtained by Williams for complexified line arrangement to any complex line arrangement.
16 pages