On invariants of Artin-Schreier curves
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912333213728768 |
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| author | Duque-Rosero, Juanita Goodson, Heidi García, Elisa Lorenzo Malmskog, Beth Scheidler, Renate |
| author_facet | Duque-Rosero, Juanita Goodson, Heidi García, Elisa Lorenzo Malmskog, Beth Scheidler, Renate |
| contents | 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 $p>2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_08843 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On invariants of Artin-Schreier curves Duque-Rosero, Juanita Goodson, Heidi García, Elisa Lorenzo Malmskog, Beth Scheidler, Renate Number Theory Algebraic Geometry 11G20 (Primary) 11Y70, 14H10, 14H37 (Secondary) 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 $p>2$. |
| title | On invariants of Artin-Schreier curves |
| topic | Number Theory Algebraic Geometry 11G20 (Primary) 11Y70, 14H10, 14H37 (Secondary) |
| url | https://arxiv.org/abs/2401.08843 |