Pavage de Vorono\"i associ\'e au groupe de Cremona
Algebraic Geometry
2020-05-13 v2 Group Theory
Abstract
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 Poincar\'e half-plane, we exhibit a fundamental domain for this action by considering a Vorono\"i tessellation. Then we study adjacent cells to a given cell, as well as cells that share common points in the boundary at infinity.
Cite
@article{arxiv.1710.01368,
title = {Pavage de Vorono\"i associ\'e au groupe de Cremona},
author = {Anne Lonjou},
journal= {arXiv preprint arXiv:1710.01368},
year = {2020}
}
Comments
In french, 60 pages, to appear in "Publicacions Matem\`atiques"