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arXiv · 2602.22435

Computing Invariants of Artin-Schreier Curves

Juanita Duque-Rosero·Elisa Lorenzo García·Beth Malmskog·Renate Scheidler
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Abstract

We present an algorithmic framework for computing generators for the ring of invariants of an Artin-Schreier curve. We give explicit invariants for almost all Artin-Schreier curves of genus up to~8 in standard form, and for a handful of curves of higher genus.

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Juanita Duque-Rosero, Elisa Lorenzo García, Beth Malmskog, Renate Scheidler. 2026-02-25. Computing Invariants of Artin-Schreier Curves. https://arxiv.org/abs/2602.22435

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