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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.17632 |
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| _version_ | 1866917028138319872 |
|---|---|
| author | Gasnier, Jean |
| author_facet | Gasnier, Jean |
| contents | We produce curves with a record number of points over the finite fields with $4$, $9$, $16$ and $25$ elements, as unramified abelian covers of algebraic curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_17632 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unramified abelian covers with many points Gasnier, Jean Number Theory 11G20 (Primary) 11G45 (Secondary) We produce curves with a record number of points over the finite fields with $4$, $9$, $16$ and $25$ elements, as unramified abelian covers of algebraic curves. |
| title | Unramified abelian covers with many points |
| topic | Number Theory 11G20 (Primary) 11G45 (Secondary) |
| url | https://arxiv.org/abs/2510.17632 |