Geodesic
Arrangements of hypersurfaces and Bestvina–Brady groups
Enrique Artal Bartolo1 ; José Ignacio Cogolludo-Agustín1 orcid ; Daniel Matei2
1Universidad de Zaragoza, Spain
2Romanian Academy, Bucharest, Romania
Groups, geometry, and dynamics, Tome 9 (2015) no. 1, pp. 103-131

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DOI

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.
DOI : 10.4171/ggd/307
Classification : 14-XX, 20-XX, 55-XX
Mots-clés : Bestvina–Brady quasi-projective groups, Artin kernels, hyperplane and toric arrangements, quasifibrations

Enrique Artal Bartolo  1   ; José Ignacio Cogolludo-Agustín  1   ; Daniel Matei  2

1 Universidad de Zaragoza, Spain
2 Romanian Academy, Bucharest, Romania 
Enrique Artal Bartolo; José Ignacio Cogolludo-Agustín; Daniel Matei. Arrangements of hypersurfaces and Bestvina–Brady groups. Groups, geometry, and dynamics, Tome 9 (2015) no. 1, pp. 103-131. doi: 10.4171/ggd/307
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     title = {Arrangements of hypersurfaces and {Bestvina{\textendash}Brady} groups},
     journal = {Groups, geometry, and dynamics},
     pages = {103--131},
     year = {2015},
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     number = {1},
     doi = {10.4171/ggd/307},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/307/}
}
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