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arXiv · 2002.01039

Misiurewicz polynomials for rational maps with nontrivial automorphisms

Minsik Han
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Abstract

In this paper, we consider a one-parameter family of degree $d\ge 2$ rational maps with an automorphism group containing the cyclic group of order $d$. We construct a polynomial whose roots correspond to parameter values for which the corresponding map is post-critically finite with a certain dynamical portrait. Then we prove that the polynomial is irreducible in certain cases.

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Minsik Han. 2020-02-03. Misiurewicz polynomials for rational maps with nontrivial automorphisms. https://arxiv.org/abs/2002.01039

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