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arXiv · 2210.17521

Rational maps with rational multipliers

Valentin Huguin
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Abstract

In this article, we show that every rational map whose multipliers all lie in a given number field is a power map, a Chebyshev map or a Latt\`{e}s map. This strengthens a conjecture by Milnor concerning rational maps with integer multipliers, which was recently proved by Ji and Xie.

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Valentin Huguin. 2022-10-31. Rational maps with rational multipliers. https://arxiv.org/abs/2210.17521

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