Arrangements of hypersurfaces and Bestvina-Brady groups

DOI10.4171/GGD/307zbMath1349.14074arXiv1207.0311MaRDI QIDQ2347647

José Ignacio Cogolludo-Agustín, Daniel Matei, Enrique Artal Bartolo

Publication date: 5 June 2015

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.0311

zbMATH Keywords

hyperplane arrangementsBestvina-Brady groupstoric arrangementsquasifibrationsquasi-projective groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Homotopy theory and fundamental groups in algebraic geometry (14F35) Hypersurfaces and algebraic geometry (14J70) Fiberings with singularities in algebraic topology (55R55) Topological properties in algebraic geometry (14F45) Configurations and arrangements of linear subspaces (14N20)

Related Items (1)

Discriminantal bundles, arrangement groups, and subdirect products of free groups

Cites Work

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• On the geometry of toric arrangements
• Topics in hyperplane arrangements, polytopes and box-splines
• Moment-angle complexes, monomial ideals and Massey products
• Normal subgroups in duality groups and in groups of cohomological dimension 2
• Morse theory and finiteness properties of groups
• Quasi-projectivity, Artin-Tits Groups, and Pencil Maps
• Presentations for subgroups of Artin groups
• The Bestvina-Brady Construction Revisited: Geometric Computation of ∑-Invariants for Right-Angled Artin Groups

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