Quasi-projectivity of even Artin groups

TL;DR

This paper characterizes which even Artin groups are quasi-projective based on their defining graphs and demonstrates their realization as K(pi,1) quasi-projective spaces.

Contribution

It provides a complete graph-based characterization of quasi-projective even Artin groups and constructs their geometric realizations.

Findings

Complete characterization of quasi-projective even Artin groups

Realization of these groups as K(pi,1) quasi-projective spaces

Extension of known results from right-angled to even Artin groups

Abstract

Even Artin groups generalize right-angled Artin groups by allowing the labels in the defining graph to be even. In this paper a complete characterization of quasi-projective even Artin groups is given in terms of their defining graphs. Also, it is shown that quasi-projective even Artin groups are realizable by K(pi,1) quasi-projective spaces.