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Arrangements of hypersurfaces and Bestvina-Brady groups (1207.0311v2)
Published 2 Jul 2012 in math.AG, math.AT, and math.GR
Abstract: 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 finiteness properties.