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 $\operatorname{PSL}(2,\mathbb{Z})$ on the Poincaré 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.
Citation
Anne Lonjou. "Pavage de Voronoï associé au groupe de Cremona." Publ. Mat. 63 (2) 521 - 599, 2019. https://doi.org/10.5565/PUBLMAT6321905
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