Semi-implicit representations of surfaces in \(\mathbb P^3\), resultants and applications

DOI10.1016/j.jsc.2004.11.006zbMath1120.14053OpenAlexW2099351687MaRDI QIDQ2456546

Laurent Busé, Andre Galligo

Publication date: 19 October 2007

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

Full work available at URL: https://doi.org/10.1016/j.jsc.2004.11.006

zbMATH Keywords

resultantsdeterminantal varietiesalgebraic family of curves

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) Computational aspects of algebraic surfaces (14Q10) Families, moduli, classification: algebraic theory (14J10)

Uses Software

• Macaulay2

Cites Work

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• Ideaux resultants
• Résolution des systèmes d'équations algébriques
• Algorithm for implicitizing rational parametric surfaces
• Some structure theorems for finite free resolutions
• Liaison des variétés algébriques. I
• Continuity properties for flat families of polynomials. I: Continuous parametrizations
• Resultants of determinantal varieties
• Algèbre linéaire sur $K[X_1,\dots,X_n$ et élimination]

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