Pavage de Voronoï associé au groupe de Cremona
Lonjou, Anne (Universität Basel. Departement Mathematik und Informatik)

Date:	2019
Abstract:	The action of the Cremona group of rank 2 on an infinite dimensionalhyperbolic space is the main recent tool to study the Cremona group. Following the analogy with the action of PSL(2; Z) on the Poincare half-plane, we exhibit a fundamental domain for this action by considering a Voronoi tessellation. Then we study adjacent cells to a given cell, as well as cells that share common points in the boundary at infinity.
Rights:	Tots els drets reservats.
Language:	Francès
Document:	Article ; recerca ; Versió publicada
Subject:	Cremona group ; Hyperbolic space ; Voronoi tessellation ; Fundamental domain
Published in:	Publicacions matemàtiques, Vol. 63 Núm. 2 (2019) , p. 521-599 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/358951
DOI: 10.5565/PUBLMAT6321905

80 p, 693.8 KB

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