A classification of triangular Riemann surfaces with $2p^2$ automorphisms
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866916050688278528 |
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| author | Reyes-Carocca, Sebastián Nene, Yazmin Rivera |
| author_facet | Reyes-Carocca, Sebastián Nene, Yazmin Rivera |
| contents | In this article we provide a classification and description of compact Riemann surfaces admitting a triangular action of a group of order $2p^2,$ where $p$ is an odd prime number. We obtain that all such Riemann surfaces are isomorphic to curves defined over the rational numbers. As a by-product, we derive a classification of orientably-regular hypermaps whose orientation-preserving automorphism group has order $2p^2.$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_27266 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A classification of triangular Riemann surfaces with $2p^2$ automorphisms Reyes-Carocca, Sebastián Nene, Yazmin Rivera Algebraic Geometry 14H30, 30F10, 14H37, 30F35, 14H57 In this article we provide a classification and description of compact Riemann surfaces admitting a triangular action of a group of order $2p^2,$ where $p$ is an odd prime number. We obtain that all such Riemann surfaces are isomorphic to curves defined over the rational numbers. As a by-product, we derive a classification of orientably-regular hypermaps whose orientation-preserving automorphism group has order $2p^2.$ |
| title | A classification of triangular Riemann surfaces with $2p^2$ automorphisms |
| topic | Algebraic Geometry 14H30, 30F10, 14H37, 30F35, 14H57 |
| url | https://arxiv.org/abs/2605.27266 |