Reduction Types of Genus-3 Curves in a Special Stratum of their Moduli Space

DOI10.1007/978-3-030-77700-5_4zbMath1506.14058arXiv2003.07633OpenAlexW4206886479MaRDI QIDQ5048629

Anna Somoza, Irene I. Bouw, Sabrina Kunzweiler, Pınar Kılıçer, Nirvana Coppola, Elisa Lorenzo García

Publication date: 16 November 2022

Published in: Association for Women in Mathematics Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.07633

zbMATH Keywords

plane quartic curvesstable reductionDixmier-Ohno invariantsreduction type

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Plane and space curves (14H50) Families, moduli of curves (algebraic) (14H10) Curves over finite and local fields (11G20) Computational aspects of algebraic curves (14Q05)

Uses Software

• Magma
• SageMath
• GitHub

Cites Work

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• COMPUTINGL-FUNCTIONS AND SEMISTABLE REDUCTION OF SUPERELLIPTIC CURVES
• On some questions of Serre on abelian threefolds
• The Arithmetic of Elliptic Curves
• Picard Curves with Small Conductor
• Large torsion subgroups of split Jacobians of curves of genus two or three
• Semistable types of hyperelliptic curves
• On the Graded Ring of Invariants of Binary Octavics
• A database of nonhyperelliptic genus-3 curves over \(\mathbb{Q}\)

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