Computing Invariants of Artin-Schreier Curves

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Juanita Duque-Rosero, Elisa Lorenzo García, Beth Malmskog, Renate Scheidler
DOI: 10.48550/arxiv.2602.22435
Cited by: 0

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.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Polynomial and algebraic computation Commutative Algebra and Its Applications

Publication details

Journal / source
arXiv (Cornell University)
Publication date
25 February 2026
Language
EN
Document type
Preprint