A non-archimedean Montel's theorem
Algebraic Geometry
2019-02-20 v3 Dynamical Systems
Abstract
We prove a version of Montel's theorem for analytic functions over a non-archimedean complete valued field. We propose a definition of normal family in this context, and give applications of our results to the dynamics of non-archimedean entire functions.
Cite
@article{arxiv.1105.0746,
title = {A non-archimedean Montel's theorem},
author = {Charles Favre and Jan Kiwi and Eugenio Trucco},
journal= {arXiv preprint arXiv:1105.0746},
year = {2019}
}
Comments
29 pages, minor modifications, to appear in Compositio