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Quasi-Kähler Bestvina-Brady groups

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: A. Dimca, S. Papadima, A. I. Suciu

Editorial: Journal of Algebraic Geometry, 17 (1), p.185-197, 2008.


A 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 o , which sends each generator v to 1. We establish precisely which graphs G give rise to quasi-K”ahler (respectively, K”ahler) 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.

Cuvinte cheie: Right-angled Artin group, Bestvina-Brady group, resonance variety, smooth quasi-projective variety