Vanishing results for the Aomoto complex of real hyperplane arrangements via minimality

DOI10.5427/jsing.2016.14ezbMath1348.32012arXiv1512.05318OpenAlexW2963978283MaRDI QIDQ3178408

Masahiko Yoshinaga, Pauline Bailet

Publication date: 13 July 2016

Published in: Journal of Singularities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.05318

zbMATH Keywords

cohomology groupshomology groupshyperplane arrangementsOrlik-Solomon algebrasvanishing resultsAomoto complexes

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Related Items (1)

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

Cites Work

• Unnamed Item
• Unnamed Item
• On the admissibility of certain local systems
• The chamber basis of the Orlik-Solomon algebra and Aomoto complex
• Homology of a local system on the complement of hyperplanes
• Combinatorics and topology of complements of hyperplanes
• Nonresonance conditions for arrangements.
• Hypersurface complements, Milnor fibers and higher homotopy groups of arrangements
• Cohomology of local systems on the complement of hyperplanes
• Local systems over complements of hyperplanes and the Kac-Kazhdan conditions for singular vectors
• Topology and geometry of cohomology jump loci
• Hyperplane arrangements and Lefschetz's hyperplane section theorem
• Orlik-Solomon algebras in algebra and topology
• Theory of Hypergeometric Functions
• The spectral sequence of an equivariant chain complex and homology with local coefficients
• Cohomology of the brieskorn-orlik-solomon algebras
• The Milnor fibration of a hyperplane arrangement: from modular resonance to algebraic monodromy
• Minimality of hyperplane arrangements and basis of local system cohomology

This page was built for publication: Vanishing results for the Aomoto complex of real hyperplane arrangements via minimality