Rational maps with rational multipliers
Dynamical Systems
2022-11-01 v1
Abstract
In this article, we show that every rational map whose multipliers all lie in a given number field is a power map, a Chebyshev map or a Latt\`{e}s map. This strengthens a conjecture by Milnor concerning rational maps with integer multipliers, which was recently proved by Ji and Xie.
Cite
@article{arxiv.2210.17521,
title = {Rational maps with rational multipliers},
author = {Valentin Huguin},
journal= {arXiv preprint arXiv:2210.17521},
year = {2022}
}
Comments
8 pages