Some Applications of Dynamical Belyi Polynomials
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866917643609440256 |
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| author | Anderson, Jacqueline Manes, Michelle Tobin, Bella |
| author_facet | Anderson, Jacqueline Manes, Michelle Tobin, Bella |
| contents | We give necessary and sufficient conditions for post-critically finite polynomials to have persistent bad reduction at a given prime. We also answer in the negative a pair of questions posed by Silverman about conservative polynomials. Our proofs rely on conservative dynamical Belyi polynomials as exemplars of PCF (resp. conservative) maps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_03339 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Some Applications of Dynamical Belyi Polynomials Anderson, Jacqueline Manes, Michelle Tobin, Bella Number Theory Dynamical Systems 37P05, 11G We give necessary and sufficient conditions for post-critically finite polynomials to have persistent bad reduction at a given prime. We also answer in the negative a pair of questions posed by Silverman about conservative polynomials. Our proofs rely on conservative dynamical Belyi polynomials as exemplars of PCF (resp. conservative) maps. |
| title | Some Applications of Dynamical Belyi Polynomials |
| topic | Number Theory Dynamical Systems 37P05, 11G |
| url | https://arxiv.org/abs/2109.03339 |