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arXiv · 2508.13307

Algebraic models of cyclic $k$-gonal curves

Ruben A. Hidalgo·Sebastián Reyes-Carocca
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Abstract

In this paper, we describe explicit algebraic equations of tame cyclic $k$-gonal curves, where $k \geq 2$ is an integer, reflecting the action of the normalizer of a tame cyclic $k$-gonal automorphism. For $k$ a prime integer, this was previously done by A. Wootton.

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Ruben A. Hidalgo, Sebastián Reyes-Carocca. 2025-08-18. Algebraic models of cyclic $k$-gonal curves. https://arxiv.org/abs/2508.13307

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