A computational approach to Lüroth quartics

DOI10.1007/s12215-013-0114-xzbMath1273.14126arXiv1208.1372OpenAlexW2088596103MaRDI QIDQ1945114

Giorgio Ottaviani

Publication date: 2 April 2013

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.1372

zbMATH Keywords

Quartic curve

Mathematics Subject Classification ID

Computational aspects of algebraic curves (14Q05)

Related Items (1)

The \(3\times 3\times 3\) hyperdeterminant as a polynomial in the fundamental invariants for \(\mathrm{SL}_3(\mathbb C)\times\mathrm{SL}_3(\mathbb C)\times\mathrm{SL}_3(\mathbb C)\)

Uses Software

• Macaulay2

Cites Work

• Equations for secant varieties of Veronese and other varieties
• On singular Lüroth quartics
• Moduli of vector bundles on the projective plane
• On the hypersurface of Lüroth quartics
• Polar covariants of plane cubics and quartics
• Quartic curves and their bitangents
• Sur le morphisme de Barth
• Classical Algebraic Geometry
• An explicit expression of the Lüroth invariant
• Varieties of sums of power
• Algorithms in invariant theory
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