Reduction of Plane Quartics and Dixmier-Ohno invariants
数论
2024-08-30 v2 代数几何
摘要
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.
引用
@article{arxiv.2401.13902,
title = {Reduction of Plane Quartics and Dixmier-Ohno invariants},
author = {Raymond van Bommel and Jordan Docking and Reynald Lercier and Elisa Lorenzo García},
journal= {arXiv preprint arXiv:2401.13902},
year = {2024}
}