Volume 22, issue 7 (2018)

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Quasi-projectivity of even Artin groups

Rubén Blasco-García and José Ignacio Cogolludo-Agustín

Geometry & Topology 22 (2018) 3979–4011
Abstract

Even Artin groups generalize right-angled Artin groups by allowing the labels in the defining graph to be even. We give a complete characterization of quasi-projective even Artin groups in terms of their defining graphs. Also, we show that quasi-projective even Artin groups are realizable by K(π,1) quasi-projective spaces.

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Keywords
Artin groups, quasi-projective groups
Mathematical Subject Classification 2010
Primary: 14F45, 20F36
Secondary: 14H30, 32S50, 57M05
References
Publication
Received: 21 February 2017
Revised: 2 January 2018
Accepted: 13 March 2018
Published: 6 December 2018
Proposed: Lothar Göttsche
Seconded: Dan Abramovich, Walter Neumann
Authors
Rubén Blasco-García
Departamento de Matemáticas, IUMA
Universidad de Zaragoza
Zaragoza
Spain
José Ignacio Cogolludo-Agustín
Departamento de Matemáticas, IUMA
Universidad de Zaragoza
Zaragoza
Spain