On Invariants of Artin-Schreier Curves

Association for Women in Mathematics series 2026 Open access

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Authors: Juanita Duque-Rosero, Heidi Goodson, Elisa Lorenzo García, Beth Malmskog, Renate Scheidler
DOI: 10.1007/978-3-032-11183-8_6
Cited by: 0

Abstract

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 $$p>2$$ p > 2 .

Fields of Study & Subjects

Algebraic Geometry and Number Theory Vietnamese History and Culture Studies Historical Studies and Socio-cultural Analysis

Publication details

Journal / source
Association for Women in Mathematics series
Pages
131–161
Publication date
1 January 2026
Language
EN