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arXiv · 2007.00567

Degree gaps for multipliers and the dynamical Andre-Oort conjecture

Patrick Ingram
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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.

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Patrick Ingram. 2020-07-01. Degree gaps for multipliers and the dynamical Andre-Oort conjecture. https://arxiv.org/abs/2007.00567

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