Rational maps with rational multipliers

Published 31 Oct 2022 in math.DS | (2210.17521v1)

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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Authors (1)

Valentin Huguin

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