Cohomology of ℤ-Local Systems on Complex Hyperplane Arrangement Complements-Reference-Cited by-同舟云学术

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Cohomology of ℤ-Local Systems on Complex Hyperplane Arrangement Complements

Published:2024-05-30 Issue:15 Volume:2024 Page:11092-11103
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Liu Yongqiang¹,Maxim Laurenţiu²³,Wang Botong²

Affiliation:

1. The Institute of Geometry and Physics , University of Science and Technology of China, 96 Jinzhai Road, Hefei 230026, P.R. China

2. Department of Mathematics , University of Wisconsin-Madison, 480 Lincoln Drive, Madison, WI 53706-1388, USA

3. Institute of Mathematics of the Romanian Academy , P.O. Box 1-764, 70700 Bucharest, Romania

Abstract

Abstract 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.

Publisher

Oxford University Press (OUP)

Link

https://academic.oup.com/imrn/article-pdf/2024/15/11092/58758149/rnae111.pdf

Reference20 articles.

1. On vanishing of cohomology attached to certain many valued meromorphic functions;Aomoto;J. Math. Soc. Jpn.,1975

2. Intersection cohomology;Borel,2008

3. Nonresonance conditions for arrangements;Cohen;Ann. Inst. Fourier (Grenoble),2003

4. On Milnor fibrations of arrangements;Cohen;J. London Math. Soc.,1995

5. Sheaves in Topology

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