On the Jacobian variety of the Accola-Maclachlan curve of genus four
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909081522929664 |
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| author | Auffarth, Robert Reyes-Carocca, Sebastián Rojas, Anita M. |
| author_facet | Auffarth, Robert Reyes-Carocca, Sebastián Rojas, Anita M. |
| contents | In this short note, we study the Jacobian variety of the Accola-Maclachlan curve of genus four and obtain explicitly its Poincaré isogeny decomposition. More precisely, we show that its Jacobian variety is isomorphic to the product of two abelian surfaces that are simple, and provide explicitly a Riemann matrix for each one of the involved abelian surfaces |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_13277 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Jacobian variety of the Accola-Maclachlan curve of genus four Auffarth, Robert Reyes-Carocca, Sebastián Rojas, Anita M. Algebraic Geometry 14H40, 14H37, 14H45, 11G10 In this short note, we study the Jacobian variety of the Accola-Maclachlan curve of genus four and obtain explicitly its Poincaré isogeny decomposition. More precisely, we show that its Jacobian variety is isomorphic to the product of two abelian surfaces that are simple, and provide explicitly a Riemann matrix for each one of the involved abelian surfaces |
| title | On the Jacobian variety of the Accola-Maclachlan curve of genus four |
| topic | Algebraic Geometry 14H40, 14H37, 14H45, 11G10 |
| url | https://arxiv.org/abs/2401.13277 |