Equations of genus $4$ curves from their theta constants
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917714488983552 |
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| author | Hanselman, Jeroen Pieper, Andreas Schiavone, Sam |
| author_facet | Hanselman, Jeroen Pieper, Andreas Schiavone, Sam |
| contents | In this article we give explicit formulas for the equations of a generic genus $4$ curve in terms of its theta constants. The method uses the Prym construction and the beautiful classical geometry around it. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_03160 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Equations of genus $4$ curves from their theta constants Hanselman, Jeroen Pieper, Andreas Schiavone, Sam Algebraic Geometry Number Theory 14H40, 14H25 In this article we give explicit formulas for the equations of a generic genus $4$ curve in terms of its theta constants. The method uses the Prym construction and the beautiful classical geometry around it. |
| title | Equations of genus $4$ curves from their theta constants |
| topic | Algebraic Geometry Number Theory 14H40, 14H25 |
| url | https://arxiv.org/abs/2402.03160 |