Dynamical Belyi maps
Number Theory
2017-08-09 v2
Abstract
We study the dynamical properties of a large class of rational maps with exactly three ramification points. By constructing families of such maps, we obtain infinitely many conservative maps of degree ; this answers a question of Silverman. Rather precise results on the reduction of these maps yield strong information on the rational dynamics.
Keywords
Cite
@article{arxiv.1703.08563,
title = {Dynamical Belyi maps},
author = {Jacqueline Anderson and Irene Bouw and Ozlem Ejder and Neslihan Girgin and Valentijn Karemaker and Michelle Manes},
journal= {arXiv preprint arXiv:1703.08563},
year = {2017}
}
Comments
21 pages