Arboreal Galois groups of rational maps with nonreal Julia sets

Fuente: arXiv
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Autor principal: Leung, Chifan
Formato: Preprint
Publicado: 2024
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author Leung, Chifan
author_facet Leung, Chifan
contents We prove a non-abelian arboreal Galois group result for certain maps with non-real Julia set at an archimedean place. We investigate the question of determining which polynomials defined over $\mathbb{R}$ have real Julia set. Finally we show that for some certain classes of Lattès maps associated to the duplication map on an elliptic curve has non-abelian arboreal Galois groups.
format Preprint
id arxiv_https___arxiv_org_abs_2412_03313
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Arboreal Galois groups of rational maps with nonreal Julia sets
Leung, Chifan
Number Theory
Dynamical Systems
We prove a non-abelian arboreal Galois group result for certain maps with non-real Julia set at an archimedean place. We investigate the question of determining which polynomials defined over $\mathbb{R}$ have real Julia set. Finally we show that for some certain classes of Lattès maps associated to the duplication map on an elliptic curve has non-abelian arboreal Galois groups.
title Arboreal Galois groups of rational maps with nonreal Julia sets
topic Number Theory
Dynamical Systems
url https://arxiv.org/abs/2412.03313