论文标题

有理乘数的理性地图

Rational maps with rational multipliers

论文作者

Huguin, Valentin

论文摘要

在本文中,我们表明,每个理性地图的乘数都位于给定的数字字段中,都是电源图,Chebyshev地图或Lattès地图。这加强了米尔诺(Milnor)对整数乘数的理性地图的猜想,这是Ji和Xie最近证明的。

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 Lattès 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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