Reduction of Plane Quartics and Dixmier-Ohno invariants

Published 25 Jan 2024 in math.NT and math.AG | (2401.13902v2)

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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