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arXiv · 2605.27266

A classification of triangular Riemann surfaces with $2p^2$ automorphisms

Sebastián Reyes-Carocca·Yazmin Rivera Nene
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Abstract

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 $2p^2.$

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Sebastián Reyes-Carocca, Yazmin Rivera Nene. 2026-05-26. A classification of triangular Riemann surfaces with $2p^2$ automorphisms. https://arxiv.org/abs/2605.27266

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