Pavage de Voronoï associé au groupe de Cremona

• Lonjou, Anne ^[1]
  1. [1] University of Basel

     University of Basel

     Basilea, Suiza

     
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 63, Nº 2, 2019, págs. 521-599
• Idioma: inglés
• DOI: 10.5565/PUBLMAT6321905
• Enlaces
  • Texto completo
• 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.