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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2512.11288 |
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| _version_ | 1866908707167666176 |
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| author | Ito, Tetsushi Takeuchi, Daichi Tsushima, Takahiro |
| author_facet | Ito, Tetsushi Takeuchi, Daichi Tsushima, Takahiro |
| contents | We study exponential sums on Witt vectors, known as Gauss--Heilbronn sums, and the curves whose Frobenius traces realize these sums via a Deligne--Lusztig type construction. For 3-typical Witt vectors of length two, we analyze Gauss--Heilbronn sums, from which we fully determine the Frobenius slopes of the associated curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_11288 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gauss--Heilbronn Sums and Coverings of Deligne--Lusztig Type Curves Ito, Tetsushi Takeuchi, Daichi Tsushima, Takahiro Number Theory We study exponential sums on Witt vectors, known as Gauss--Heilbronn sums, and the curves whose Frobenius traces realize these sums via a Deligne--Lusztig type construction. For 3-typical Witt vectors of length two, we analyze Gauss--Heilbronn sums, from which we fully determine the Frobenius slopes of the associated curves. |
| title | Gauss--Heilbronn Sums and Coverings of Deligne--Lusztig Type Curves |
| topic | Number Theory |
| url | https://arxiv.org/abs/2512.11288 |