Explicit supersingular cyclic curves
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908371698843648 |
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| author | Streng, Marco |
| author_facet | Streng, Marco |
| contents | Li, Mantovan, Pries, and Tang proved the existence of supersingular curves over Fpbar in each of the special families of curves in Moonen's classification. Their proof does not provide defining equations of these curves. We make some of their results explicit using the reductions modulo p of previously computed curves with complex multiplication. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_14902 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Explicit supersingular cyclic curves Streng, Marco Number Theory Algebraic Geometry Primary 14G10, 11G20, 11M38, 14H10, 14K22, Secondary: 11G18, 14G10, 14G15, 14H30, 14H40 Li, Mantovan, Pries, and Tang proved the existence of supersingular curves over Fpbar in each of the special families of curves in Moonen's classification. Their proof does not provide defining equations of these curves. We make some of their results explicit using the reductions modulo p of previously computed curves with complex multiplication. |
| title | Explicit supersingular cyclic curves |
| topic | Number Theory Algebraic Geometry Primary 14G10, 11G20, 11M38, 14H10, 14K22, Secondary: 11G18, 14G10, 14G15, 14H30, 14H40 |
| url | https://arxiv.org/abs/2501.14902 |