Arboreal Galois groups of rational maps with nonreal Julia sets
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912143798960128 |
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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 |