Quasi-Kähler Bestvina-Brady groups

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dc.creatorDimca, Alexandru
dc.creatorPapadima, Stefan
dc.creatorSuciu, Alexander I.
dc.date2006-03-18
dc.date2006-10-14
dc.date.accessioned2026-07-07T08:47:00Z
dc.date.available2026-07-07T08:47:00Z
dc.descriptionA finite simple graph \G determines a right-angled Artin group G_\G, with one generator for each vertex v, and with one commutator relation vw=wv for each pair of vertices joined by an edge. The Bestvina-Brady group N_\G is the kernel of the projection G_\G \to \Z, which sends each generator v to 1. We establish precisely which graphs \G give rise to quasi-Kähler (respectively, Kähler) groups N_\G. This yields examples of quasi-projective groups which are not commensurable (up to finite kernels) to the fundamental group of any aspherical, quasi-projective variety.
dc.description11 pages, accepted for publication by the Journal of Algebraic Geometry
dc.identifierhttps://arxiv.org/abs/math/0603446
dc.identifierhttp://arxiv.org/abs/math/0603446
dc.identifierJournal of Algebraic Geometry 17 (2008), no. 1, 185-197
dc.identifierdoi:10.1090/S1056-3911-07-00463-8
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143448
dc.subjectAlgebraic Geometry
dc.subjectGroup Theory
dc.subject14F35, 20F36; 14M12, 57M07
dc.titleQuasi-Kähler Bestvina-Brady groups
dc.typetext

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