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arXiv · 2401.13902

Reduction of Plane Quartics and Dixmier-Ohno invariants

Raymond van Bommel·Jordan Docking·Reynald Lercier·Elisa Lorenzo García
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Abstract

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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Raymond van Bommel, Jordan Docking, Reynald Lercier, Elisa Lorenzo García. 2024-01-25. Reduction of Plane Quartics and Dixmier-Ohno invariants. https://arxiv.org/abs/2401.13902

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