$\mathbb{Z}$-local system cohomology of hyperplane arrangements and a Cohen-Dimca-Orlik type theorem

Autor:	Sugawara, Sakumi
Rok vydání:	2022
Předmět:	Mathematics - Geometric Topology Mathematics - Combinatorics 52C35
Druh dokumentu:	Working Paper
Popis:	Local system cohomology groups of the complements of hyperplane arrangements have played an important role in the theory of hypergeometric integrals, the topology of Milnor fibers and covering spaces. One of the important theorems is the vanishing theorem for generic $\mathbb{C}$-local systems which goes back to Aomoto's work. Later, Cohen, Dimca, and Orlik proved a stronger version of the vanishing theorem. In this paper, we prove a Cohen-Dimca-Orlik type theorem for $\mathbb{Z}$-local systems. Comment: 12 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2209.02237 Zobrazit plný text záznamu View this record from Arxiv