Distortion in Cremona groups
Algebraic Geometry
2021-05-11 v2 Group Theory
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.
Cite
@article{arxiv.1806.01674,
title = {Distortion in Cremona groups},
author = {Serge Cantat and Yves Cornulier},
journal= {arXiv preprint arXiv:1806.01674},
year = {2021}
}
Comments
33 pages