Reduction of Plane Quartics and Dixmier-Ohno invariants
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.
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | 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. |
|---|---|
| DOI: | 10.48550/arxiv.2401.13902 |