Some Applications of Dynamical Belyi Polynomials
Number Theory
2024-04-19 v3 Dynamical Systems
Abstract
We give necessary and sufficient conditions for post-critically finite polynomials to have persistent bad reduction at a given prime. We also answer in the negative a pair of questions posed by Silverman about conservative polynomials. Our proofs rely on conservative dynamical Belyi polynomials as exemplars of PCF (resp. conservative) maps.
Cite
@article{arxiv.2109.03339,
title = {Some Applications of Dynamical Belyi Polynomials},
author = {Jacqueline Anderson and Michelle Manes and Bella Tobin},
journal= {arXiv preprint arXiv:2109.03339},
year = {2024}
}