ℤ-local system cohomology of hyperplane arrangements and a Cohen–Dimca–Orlik type theorem

DOI10.1142/s0129167x23500441zbMath1528.14067arXiv2209.02237OpenAlexW4366976486WikidataQ122415789 ScholiaQ122415789MaRDI QIDQ6116691

Sakumi Sugawara

Publication date: 16 August 2023

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.02237

zbMATH Keywords

vanishing theoremhyperplane arrangementlocal system

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Configurations and arrangements of linear subspaces (14N20) Homology with local coefficients, equivariant cohomology (55N25)

Related Items (1)

Integral homology groups of double coverings and rank one ℤ-local systems for a minimal CW complex

Cites Work

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• Vanishing results for the Aomoto complex of real hyperplane arrangements via minimality
• Torsion in the Homology of Milnor Fibers of Hyperplane Arrangements
• On Milnor Fibrations of Arrangements
• The Milnor fibration of a hyperplane arrangement: from modular resonance to algebraic monodromy
• Multinets, parallel connections, and Milnor fibrations of arrangements
• Milnor fibers of real line arrangements
• Minimality of hyperplane arrangements and basis of local system cohomology

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