Nonarchimedean dynamical systems and formal groups
Number Theory
2018-09-10 v3
Abstract
We prove two theorems that confirm an observation of Lubin concerning families of -adic power series that commute under composition: under certain conditions, there is a formal group such that the power series in the family are either endomorphisms of this group, or semi-conjugate to endomorphisms of this group.
Cite
@article{arxiv.1702.06037,
title = {Nonarchimedean dynamical systems and formal groups},
author = {Laurent Berger},
journal= {arXiv preprint arXiv:1702.06037},
year = {2018}
}
Comments
9 pages. v3 : revised following referee's report