A classification of triangular Riemann surfaces with $2p^2$ automorphisms
Algebraic Geometry
2026-05-27 v1
Abstract
In this article we provide a classification and description of compact Riemann surfaces admitting a triangular action of a group of order where 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
Cite
@article{arxiv.2605.27266,
title = {A classification of triangular Riemann surfaces with $2p^2$ automorphisms},
author = {Sebastián Reyes-Carocca and Yazmin Rivera Nene},
journal= {arXiv preprint arXiv:2605.27266},
year = {2026}
}
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17 pages