A Dynamical Lifting Problem For Additive Polynomials
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Accesso online: | |
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| _version_ | 1866908950885040128 |
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| author | Tedeschi, Daniel |
| author_facet | Tedeschi, Daniel |
| contents | We introduce a dynamical analogue of the lifting problem for Galois covers of algebraic curves and find a negative solution for the collection of additive, separable polynomials over $\overline{\mathbb{F}}_p$. We also explicitly compute the dimension of the space of linear conjugacy classes in $M_{p^m}(\overline{\mathbb{F}}_p)$ which contain an additive, separable polynomial. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_08795 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Dynamical Lifting Problem For Additive Polynomials Tedeschi, Daniel Number Theory Dynamical Systems 37P25 (Primary) 37P05, 12F10 (Secondary) We introduce a dynamical analogue of the lifting problem for Galois covers of algebraic curves and find a negative solution for the collection of additive, separable polynomials over $\overline{\mathbb{F}}_p$. We also explicitly compute the dimension of the space of linear conjugacy classes in $M_{p^m}(\overline{\mathbb{F}}_p)$ which contain an additive, separable polynomial. |
| title | A Dynamical Lifting Problem For Additive Polynomials |
| topic | Number Theory Dynamical Systems 37P25 (Primary) 37P05, 12F10 (Secondary) |
| url | https://arxiv.org/abs/2604.08795 |