Set-theoretic generators of rational space curves

DOI10.1016/j.jsc.2009.11.001zbMath1184.14052OpenAlexW2054231478MaRDI QIDQ2269693

Xiaohong Jia, Ronald N. Goldman, Hao Hao Wang

Publication date: 17 March 2010

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

Full work available at URL: https://doi.org/10.1016/j.jsc.2009.11.001

zbMATH Keywords

resultantset-theoretic complete intersection\(\mu \)-basisset-theoretic generators

Mathematics Subject Classification ID

Computational aspects and applications of commutative rings (13P99) Plane and space curves (14H50) Complete intersections (14M10)

Related Items (5)

Strata of rational space curves ⋮ Survey on the theory and applications of \(\mu\)-bases for rational curves and surfaces ⋮ Role of moving planes and moving spheres following Dupin cyclides ⋮ Implicitization of rational hypersurfaces via linear syzygies: a practical overview ⋮ Matrix-based implicit representations of rational algebraic curves and applications

Cites Work

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• The curve \({\tilde{\mathcal C}}_ 4=(\lambda^ 4,\lambda^ 3\mu,\lambda\mu^ 3,\mu^ 4)\subset {\mathbb{P}}^ 3_ k\), is not set- theoretic complete intersection of two quartic surfaces
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• On a Conormal Module of Smooth Set Theoretic Complete Intersections
• Curve implicitization using moving lines

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