Dessins d'enfants和Hubbard树
Dessins d'enfants and Hubbard Trees
摘要：
我们证明了绝对伽罗瓦群忠实地作用在Hubbard树的集合上。Hubbard树是有限平面树，具有自映射，它将后临界有限多项式分类为复平面上的全纯动力系统。我们建立了一个明确的关系，某些哈伯德树和被称为'' dessins d'enfant''介绍Grothendieck的树木。
英文摘要：
We show that the absolute Galois group acts faithfully on the set of Hubbard trees. Hubbard trees are finite planar trees, equipped with self-maps, which classify postcritically finite polynomials as holomorphic dynamical systems on the complex plane. We establish an explicit relationship between certain Hubbard trees and the trees known as ``dessins d'enfant'' introduced by Grothendieck.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
