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arXiv · 1207.0311

Arrangements of hypersurfaces and Bestvina-Brady groups

Enrique Artal Bartolo·Jose Ignacio Cogolludo-Agustin·Daniel Matei
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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.

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Enrique Artal Bartolo, Jose Ignacio Cogolludo-Agustin, Daniel Matei. 2012-07-02. Arrangements of hypersurfaces and Bestvina-Brady groups. https://doi.org/10.4171/ggd%2F307

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