复超平面排列补上 Z-局部系统的上同调
代数拓扑
2023-07-06 v2 代数几何
摘要
我们证明了复超平面排列补上秩一 Z-局部系统的 Cohen-Dimca-Orlik 型定理。这解决了 S. Sugawara 近期的一个猜想。
引用
@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}
}
备注
v2: the paper is completely rewritten, an error in v1 is fixed