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arXiv · 1710.01368

Pavage de Vorono\"i associ\'e au groupe de Cremona

Anne Lonjou
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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.

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Anne Lonjou. 2017-10-03. Pavage de Vorono\"i associ\'e au groupe de Cremona. https://doi.org/10.5565/publmat6321905

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