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arXiv · 2107.07262

Quadratic rational maps with integer multipliers

Valentin Huguin
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Abstract

In this article, we prove that every quadratic rational map whose multipliers all lie in the ring of integers of a given imaginary quadratic field is a power map, a Chebyshev map or a Latt\`{e}s map. In particular, this provides some evidence in support of a conjecture by Milnor concerning rational maps whose multipliers are all integers.

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Valentin Huguin. 2021-07-15. Quadratic rational maps with integer multipliers. https://arxiv.org/abs/2107.07262

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