Substitution maps in the Robba ring
Number Theory
2022-01-19 v4
Abstract
We ask several questions about substitution maps in the Robba ring. These questions are motivated by -adic Hodge theory and the theory of -adic dynamical systems. We provide answers to those questions in special cases, thereby generalizing results of Kedlaya, Colmez, and others.
Cite
@article{arxiv.2012.01904,
title = {Substitution maps in the Robba ring},
author = {Laurent Berger},
journal= {arXiv preprint arXiv:2012.01904},
year = {2022}
}
Comments
v2: added a result; v3 minor corrections; v4 final version, to appear in Ann Math Qu\'ebec (Perrin-Riou special issue)