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arXiv · 2109.03339

Some Applications of Dynamical Belyi Polynomials

Jacqueline Anderson·Michelle Manes·Bella Tobin
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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.

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Jacqueline Anderson, Michelle Manes, Bella Tobin. 2021-09-07. Some Applications of Dynamical Belyi Polynomials. https://arxiv.org/abs/2109.03339

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