A Criterion for Potentially Good Reduction in Non-archimedean Dynamics
Number Theory
2013-12-03 v2 Dynamical Systems
Abstract
Let K be a non-archimedean field, and let f in K(z) be a polynomial or rational function of degree at least 2. We present a necessary and sufficient condition, involving only the fixed points of f and their preimages, that determines whether or not the dynamical system f on P^1 has potentially good reduction.
Keywords
Cite
@article{arxiv.1311.6695,
title = {A Criterion for Potentially Good Reduction in Non-archimedean Dynamics},
author = {Robert L. Benedetto},
journal= {arXiv preprint arXiv:1311.6695},
year = {2013}
}
Comments
7 pages; typos corrected and a little extra commentary added