On invariants of Artin-Schreier curves
Number Theory
2025-04-21 v2 Algebraic Geometry
Abstract
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 establish standard forms of Artin-Schreier curves and determine all isomorphisms between curves in this form. We then compute reconstructing systems of invariants for curves in each connected component of the strata of the moduli spaces for Artin-Schreier curves of genus 3 and 4 for .
Keywords
Cite
@article{arxiv.2401.08843,
title = {On invariants of Artin-Schreier curves},
author = {Juanita Duque-Rosero and Heidi Goodson and Elisa Lorenzo García and Beth Malmskog and Renate Scheidler},
journal= {arXiv preprint arXiv:2401.08843},
year = {2025}
}
Comments
25 pages