Some Applications of Dynamical Belyi Polynomials
arxiv(2021)
摘要
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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