Serge Cantat

activity

20062026

most citedNormal subgroups in the Cremona group (long version)

81 citations · 241 across the 27 of their papers we have counts for

collaborators

Showing 2018 · math.AGShow all

3 papers · 2 filters

math.AG2018★ 2 cited

The geometric Bogomolov conjecture

Serge Cantat, Ziyang Gao, Philipp Habegger +1

We prove the geometric Bogomolov conjecture over a function field of characteristic zero.

math.AG2018★ 4 cited

Distortion in Cremona groups

Serge Cantat, Yves Cornulier

We study distortion of elements in two-dimensional Cremona groups over algebraically closed fields of characteristic zero. Namely, we obtain the following trichotomy: non-elliptic…

math.AG2018★ 3 cited

On degrees of birational mappings

Serge Cantat, Junyi Xie

We prove that the degrees of the iterates $deg (f^{n})$ of a birational map satisfy $lim inf (deg (f^{n})) < + \infty$ if and only if the sequence $deg (f^{n})$ is bounded, an…