Explicit computations of invariants of plane quartic curves

DOI10.1016/j.jsc.2014.09.006zbMath1360.13017OpenAlexW2038240169MaRDI QIDQ480677

Andreas-Stephan Elsenhans

Publication date: 9 December 2014

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2014.09.006

zbMATH Keywords

geometric invariant theoryplane quartic curves

Mathematics Subject Classification ID

Plane and space curves (14H50) Actions of groups on commutative rings; invariant theory (13A50)

Related Items (10)

Invariants, bitangents, and matrix representations of plane quartics with 3-cyclic automorphisms ⋮ A database of nonhyperelliptic genus-3 curves over \(\mathbb{Q}\) ⋮ Plane quartics with a Galois-invariant Steiner hexad ⋮ Conductor and discriminant of Picard curves ⋮ Reduction type of smooth plane quartics ⋮ On plane quartics with a Galois invariant Cayley octad ⋮ Reconstructing plane quartics from their invariants ⋮ Plane quartics over $\mathbb {Q}$ with complex multiplication ⋮ Concomitants of ternary quartics and vector-valued Siegel and Teichmüller modular forms of genus three ⋮ The discriminant of a hypersurface in weighted projective space

Uses Software

• Magma

Cites Work

• On the projective invariants of quartic plane curves
• The Magma algebra system. I: The user language
• Computational invariant theory
• The geometry of some special arithmetic quotients
• Classical Algebraic Geometry
• On the Graded Ring of Invariants of Binary Octavics
• Twisted $${\mu }_4$$ -Normal Form for Elliptic Curves

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