On orientably-regular maps of Euler characteristic $-2p^2$
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866913002047930368 |
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| author | E., Tomás Foncea Reyes-Carocca, Sebastián |
| author_facet | E., Tomás Foncea Reyes-Carocca, Sebastián |
| contents | In this article, we study orientably-regular maps of Euler characteristic $-2p^2$ and classify those that admit a group of orientation-preserving automorphisms of order $10p^2$, where $p$ is a prime number. Along the way, we classify all compact Riemann surfaces (or complex algebraic curves) of genus $1+p^2$ endowed with a group of conformal automorphisms of order $5p^2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_17743 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On orientably-regular maps of Euler characteristic $-2p^2$ E., Tomás Foncea Reyes-Carocca, Sebastián Combinatorics Algebraic Geometry 05E18, 20B25, 57M15, 57M60 In this article, we study orientably-regular maps of Euler characteristic $-2p^2$ and classify those that admit a group of orientation-preserving automorphisms of order $10p^2$, where $p$ is a prime number. Along the way, we classify all compact Riemann surfaces (or complex algebraic curves) of genus $1+p^2$ endowed with a group of conformal automorphisms of order $5p^2$. |
| title | On orientably-regular maps of Euler characteristic $-2p^2$ |
| topic | Combinatorics Algebraic Geometry 05E18, 20B25, 57M15, 57M60 |
| url | https://arxiv.org/abs/2512.17743 |