Arrangements of hypersurfaces and Bestvina–Brady groups
Copyright policy )Arrangements of hypersurfaces and Bestvina–Brady groups
We show that quasi-projective Bestvina–Brady groups are fundamental groups of complements to hyperplane arrangements. Furthermore we relate other normal subgroups of right-angled Artin groups to complements to arrangements of hypersurfaces. We thus obtain examples of hypersurface complements whose fundamental groups satisfy various niteness properties.
- University of Zaragoza Spain
- Romanian Academy Romania
Homotopy theory and fundamental groups in algebraic geometry, Topological properties in algebraic geometry, Configurations and arrangements of linear subspaces, Fiberings with singularities in algebraic topology, toric arrangements, Group Theory (math.GR), Mathematics - Algebraic Geometry, quasi-projective groups, quasifibrations, hyperplane arrangements, FOS: Mathematics, Hypersurfaces and algebraic geometry, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, 14F35, 20F65, 14F45, 20F36, 55R55, 14N20, 14J70, Bestvina-Brady groups, Geometric group theory, Mathematics - Group Theory, Algebraic Geometry (math.AG)
Homotopy theory and fundamental groups in algebraic geometry, Topological properties in algebraic geometry, Configurations and arrangements of linear subspaces, Fiberings with singularities in algebraic topology, toric arrangements, Group Theory (math.GR), Mathematics - Algebraic Geometry, quasi-projective groups, quasifibrations, hyperplane arrangements, FOS: Mathematics, Hypersurfaces and algebraic geometry, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, 14F35, 20F65, 14F45, 20F36, 55R55, 14N20, 14J70, Bestvina-Brady groups, Geometric group theory, Mathematics - Group Theory, Algebraic Geometry (math.AG)
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