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arXiv · 2101.09296

Misiurewicz polynomials for rational maps with nontrivial automorphisms II

Minsik Han
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Abstract

This paper continues discussions in the author's previous paper about the Misiurewicz polynomials defined for a family of degree $d \ge 2$ rational maps with an automorphism group containing the cyclic group of order $d$. In particular, we extend the sufficient conditions that the Misiurewicz polynomials are irreducible over $\mathbb{Q}$. We also prove that the Misiurewicz polynomials always have an irreducible factor of large degree.

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Minsik Han. 2021-01-22. Misiurewicz polynomials for rational maps with nontrivial automorphisms II. https://arxiv.org/abs/2101.09296

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