Nonarchimedean dynamical systems and formal groups

2017/02/20 by Berger, Laurent
#11S82 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1702.06037

Abstract

We prove two theorems that confirm an observation of Lubin concerning families of p-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.

Related

• Lubin's conjecture for full p-adic dynamical systems
• A criterion for Lubin's conjecture
• The perfectoid commutant of Lubin-Tate power series
• Galois Extensions of Height-One Commuting Dynamical Systems
• Rigidity and unlikely intersections for formal groups