Uniform boundedness on rational maps with automorphisms
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914646948052992 |
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| author | Han, Minsik |
| author_facet | Han, Minsik |
| contents | In this paper, we study the dynamical uniform boundedness principle over a family of rational maps with certain nontrivial automorphisms. Specifically, we consider a family of rational maps of an arbitrary degree $d\ge 2$ whose automorphism group contains the cyclic group of order $d$. We prove that a subfamily of this family satisfies the dynamical uniform boundedness principle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_11309 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Uniform boundedness on rational maps with automorphisms Han, Minsik Number Theory Dynamical Systems 37P05 In this paper, we study the dynamical uniform boundedness principle over a family of rational maps with certain nontrivial automorphisms. Specifically, we consider a family of rational maps of an arbitrary degree $d\ge 2$ whose automorphism group contains the cyclic group of order $d$. We prove that a subfamily of this family satisfies the dynamical uniform boundedness principle. |
| title | Uniform boundedness on rational maps with automorphisms |
| topic | Number Theory Dynamical Systems 37P05 |
| url | https://arxiv.org/abs/2401.11309 |