Reduction of Plane Quartics and Dixmier-Ohno invariants
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866929478122340352 |
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| author | van Bommel, Raymond Docking, Jordan Lercier, Reynald García, Elisa Lorenzo |
| author_facet | van Bommel, Raymond Docking, Jordan Lercier, Reynald García, Elisa Lorenzo |
| contents | We characterise, in terms of Dixmier-Ohno invariants, the types of singularities that a plane quartic curve can have. We then use these results to obtain new criteria for determining the stable reduction types of non-hyperelliptic curves of genus 3. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_13902 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Reduction of Plane Quartics and Dixmier-Ohno invariants van Bommel, Raymond Docking, Jordan Lercier, Reynald García, Elisa Lorenzo Number Theory Algebraic Geometry We characterise, in terms of Dixmier-Ohno invariants, the types of singularities that a plane quartic curve can have. We then use these results to obtain new criteria for determining the stable reduction types of non-hyperelliptic curves of genus 3. |
| title | Reduction of Plane Quartics and Dixmier-Ohno invariants |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2401.13902 |