复杂超平面排列补集上ℤ局部系统的同调性

IF 0.9 2区数学 Q2 MATHEMATICS

International Mathematics Research Notices Pub Date : 2024-05-30 DOI:10.1093/imrn/rnae111

Yongqiang Liu, Laurenţiu Maxim, Botong Wang

引用次数: 0

摘要

我们证明了复超平面排列补集上秩一 ${mathbb{Z}}$ 局域系统的科恩-迪姆卡-奥利克型定理。这解决了 S. Sugawara 最近的一个猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Cohomology of ℤ-Local Systems on Complex Hyperplane Arrangement Complements

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

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来源期刊

International Mathematics Research Notices 数学-数学

CiteScore

2.00

自引率

10.00%

发文量

316

审稿时长

1 months

期刊介绍： International Mathematics Research Notices provides very fast publication of research articles of high current interest in all areas of mathematics. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics.