具有有理乘数的有理映射

Journal de l’École polytechnique — Mathématiques Pub Date : 2022-10-31 DOI:10.5802/jep.227

Valentin Huguin

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引用次数: 4

摘要

在这篇文章中，我们证明了每一个乘数都在给定数域中的有理数映射都是幂映射、切比雪夫映射或拉特映射。这加强了Milnor关于整数乘子的有理映射的一个猜想，这个猜想最近被Ji和Xie证明了。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Rational maps with rational multipliers

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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Journal de l’École polytechnique — Mathématiques

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