Groups, Geometry, and Dynamics


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Volume 9, Issue 1, 2015, pp. 103–131
DOI: 10.4171/GGD/307

Arrangements of hypersurfaces and Bestvina–Brady groups

Enrique Artal Bartolo[1], José Ignacio Cogolludo-Agustín[2] and Daniel Matei[3]

(1) Universidad de Zaragoza, Spain
(2) Universidad de Zaragoza, Spain
(3) Romanian Academy, Bucharest, Romania

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.

Keywords: Bestvina–Brady quasi-projective groups, Artin kernels, hyperplane and toric arrangements, quasifibrations

Artal Bartolo Enrique, Cogolludo-Agustín José Ignacio, Matei Daniel: Arrangements of hypersurfaces and Bestvina–Brady groups. Groups Geom. Dyn. 9 (2015), 103-131. doi: 10.4171/GGD/307