Pavage de Voronoï associé au groupe de Cremona
- 1 Universität Basel. Departement Mathematik und Informatik
ISSN: 0214-1493
Año de publicación: 2019
Volumen: 63
Número: 2
Páginas: 521-599
Tipo: Artículo
Otras publicaciones en: Publicacions matematiques
Resumen
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.