Arrangements of hypersurfaces and Bestvina–Brady groups
Enrique Artal BartoloUniversidad de Zaragoza, Spain
José Ignacio Cogolludo-AgustínUniversidad de Zaragoza, Spain
Daniel MateiRomanian 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.
Cite this article
Enrique Artal Bartolo, José Ignacio Cogolludo-Agustín, Daniel Matei, Arrangements of hypersurfaces and Bestvina–Brady groups. Groups Geom. Dyn. 9 (2015), no. 1, pp. 103–131DOI 10.4171/GGD/307