The locus of Riemann surfaces of genus $2(p-1)$ with $4p$ automorphisms
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915226206601216 |
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| author | Carocca, Angel Reyes-Carocca, Sebastián |
| author_facet | Carocca, Angel Reyes-Carocca, Sebastián |
| contents | Let $p \geqslant 5$ be a prime number. In this article we provide a complete and explicit description of the locus formed by the compact Riemann surfaces of genus $2(p-1)$ that are endowed with a group of automorphisms of order $4p$. In addition, we provide isogeny decompositions of the corresponding Jacobian varieties and study if the most symmetric ones admit complex and real multiplication. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_02771 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The locus of Riemann surfaces of genus $2(p-1)$ with $4p$ automorphisms Carocca, Angel Reyes-Carocca, Sebastián Algebraic Geometry 30F10, 14H37, 30F35, 14H30, 14H40 Let $p \geqslant 5$ be a prime number. In this article we provide a complete and explicit description of the locus formed by the compact Riemann surfaces of genus $2(p-1)$ that are endowed with a group of automorphisms of order $4p$. In addition, we provide isogeny decompositions of the corresponding Jacobian varieties and study if the most symmetric ones admit complex and real multiplication. |
| title | The locus of Riemann surfaces of genus $2(p-1)$ with $4p$ automorphisms |
| topic | Algebraic Geometry 30F10, 14H37, 30F35, 14H30, 14H40 |
| url | https://arxiv.org/abs/2504.02771 |