Acylindrical hyperbolicity for Artin groups of dimension 2

In this paper, we show that every irreducible 2-dimensional Artin group A Γ of rank at least 3 is acylindrically hyperbolic. We do this by studying the action of A Γ on its modified Deligne complex. Along the way, we prove results of independent interests on the geometry of links of this complex.

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Veröffentlicht in:	Geometriae dedicata 2022-02, Vol.216 (1), Article 7
1. Verfasser:	Vaskou, Nicolas
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebraic Geometry Convex and Discrete Geometry Differential Geometry Hyperbolic Geometry Mathematics Mathematics and Statistics Original Paper Projective Geometry Topology
Online-Zugang:	Volltext
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Zusammenfassung:	In this paper, we show that every irreducible 2-dimensional Artin group A Γ of rank at least 3 is acylindrically hyperbolic. We do this by studying the action of A Γ on its modified Deligne complex. Along the way, we prove results of independent interests on the geometry of links of this complex.
ISSN:	0046-5755 1572-9168
DOI:	10.1007/s10711-021-00664-5