Pavage de Voronoï associé au groupe de Cremona
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Anne Lonjou
Universität Basel. Departement Mathematik und Informatik
The action of the Cremona group of rank 2 on an infinite dimensional
hyperbolic 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.
hyperbolic 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.
Paraules clau
Cremona group, hyperbolic space, Voronoi tessellation, fundamental domain
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Com citar
Lonjou, Anne. “Pavage de Voronoï associé au groupe de Cremona”. Publicacions Matemàtiques, vol.VOL 63, no. 2, pp. 521-99, https://raco.cat/index.php/PublicacionsMatematiques/article/view/358951.