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Graphes associ\'es au groupe de Cremona. (arXiv:1802.02910v1 [math.GR])

来源于:arXiv
To reinforce the analogy between the mapping class group and the Cremona group of rank 2 over an algebraic closed field, we look for a graph analoguous to the curve graph and such that the Cremona group acts on it non-trivially. The first candidate is a graph introduced by D. Wright. However, we demonstrate that it's not Gromov-hyperbolic. Then, we construct two other graphs associated to the Vorono\"i tesselation. We show that one is quasi-isometric to the Wright's graph and so it's not Gromov-hyperbolic. We prove that the other one is Gromov-hyperbolic. 查看全文>>