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Pavage de Voronoï associé au groupe de Cremona

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 Poincaré half-plane, we exhibit a fundamental domain for this action by considering a Voronoï tessellation. Then we study adjacent cells to a given cell, as well as cells that share common points in the boundary at infinity.

preprint2018arXivOpen access
Anne Lonjou
math.GRmath.AG
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Anne Lonjou

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