Degree gaps for multipliers and the dynamical Andre-Oort conjecture
Dynamical Systems
2020-10-06 v2 Number Theory
Abstract
We demonstrate how recent work of Favre and Gauthier, together with a modification of a result of the author, shows that a family of polynomials with infinitely many post-critically finite specializations cannot have any periodic cycles with multiplier of very low degree, except those which vanish, generalizing results of Baker and DeMarco, and Favre and Gauthier.
Cite
@article{arxiv.2007.00567,
title = {Degree gaps for multipliers and the dynamical Andre-Oort conjecture},
author = {Patrick Ingram},
journal= {arXiv preprint arXiv:2007.00567},
year = {2020}
}
Comments
Re-written (particularly the introduction) based on referee's suggestions. Not mathematically substantive changes