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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>>