Year: 2018
Type: article
Abstract: 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 elements (i.e., those whose powers have unbounded degree) are undistorted; elliptic elements have a double exponential distortion when they are virtually unipotent and an exponential distortion otherwise.
Authors: Serge Cantat, Yves De Cornulier
Language: Italian
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Agence Nationale de la Recherche
OpenAlex ID: W2806852380