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math.NT2026
Computing Invariants of Artin-Schreier Curves
Juanita Duque-Rosero, Elisa Lorenzo GarcÃa, Beth Malmskog +1
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…
math.NT2025
On invariants of Artin-Schreier curves
Juanita Duque-Rosero, Heidi Goodson, Elisa Lorenzo GarcÃa +2
The main goal of this article is to expand the theory of invariants of Artin-Schreier curves by giving a complete classification in genus 3 and 4. To achieve this goal, we first es…
math.NT2024
Codes with Hierarchical Locality on Artin-Schreier Surfaces
Jennifer Berg, Beth Malmskog, Mckenzie West
In this article, we construct codes with hierarchical locality using natural geometric structures in Artin-Schreier surfaces of the form . Our main theorem describes…