Algebraic models of cyclic $k$-gonal curves
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866911298547089408 |
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| author | Hidalgo, Ruben A. Reyes-Carocca, Sebastián |
| author_facet | Hidalgo, Ruben A. Reyes-Carocca, Sebastián |
| contents | In this paper, we describe explicit algebraic equations of tame cyclic $k$-gonal curves, where $k \geq 2$ is an integer, reflecting the action of the normalizer of a tame cyclic $k$-gonal automorphism. For $k$ a prime integer, this was previously done by A. Wootton. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_13307 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Algebraic models of cyclic $k$-gonal curves Hidalgo, Ruben A. Reyes-Carocca, Sebastián Algebraic Geometry 30F10, 14H37, 30F40, 30F60 In this paper, we describe explicit algebraic equations of tame cyclic $k$-gonal curves, where $k \geq 2$ is an integer, reflecting the action of the normalizer of a tame cyclic $k$-gonal automorphism. For $k$ a prime integer, this was previously done by A. Wootton. |
| title | Algebraic models of cyclic $k$-gonal curves |
| topic | Algebraic Geometry 30F10, 14H37, 30F40, 30F60 |
| url | https://arxiv.org/abs/2508.13307 |