Reconstructing plane quartics from their invariants

DOI10.1007/s00454-018-0047-4zbMath1439.13020arXiv1606.05594OpenAlexW3101066486WikidataQ128862110 ScholiaQ128862110MaRDI QIDQ2283113

Jeroen Sijsling, Reynald Lercier, Christophe Ritzenthaler

Publication date: 30 December 2019

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.05594

zbMATH Keywords

moduli spacesreconstructioninvariant theoryplane quartic curvesDixmier-Ohno invariants

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Arithmetic ground fields for curves (14H25) Families, moduli of curves (algebraic) (14H10) Actions of groups on commutative rings; invariant theory (13A50)

Related Items (5)

Isogenous hyperelliptic and non-hyperelliptic Jacobians with maximal complex multiplication ⋮ Conductor and discriminant of Picard curves ⋮ Reduction type of smooth plane quartics ⋮ Translating the discrete logarithm problem on Jacobians of genus 3 hyperelliptic curves with \((\ell ,\ell ,\ell)\)-isogenies ⋮ The Dubrovin threefold of an algebraic curve

Uses Software

• Magma
• LiE
• GitHub
• quartic_reconstruction
• curve_reconstruction

Cites Work

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