Detecting algebraic curves in bad position

DOI10.1006/jsco.2000.0424zbMath0977.14028OpenAlexW2004799827MaRDI QIDQ5937884

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Publication date: 28 January 2002

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

Full work available at URL: https://doi.org/10.1006/jsco.2000.0424

zbMATH Keywords

multiplicitiesalgebraic curves in bad position

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Plane and space curves (14H50) Computational aspects of algebraic curves (14Q05)

Cites Work

• The computation of polynomial greatest common divisors over an algebraic number field
• Singular points of algebraic curves
• Symbolic parametrization of curves
• Efficient computation of zero-dimensional Gröbner bases by change of ordering
• Ideal basis and primary decompositions: case of two variables
• Applied algebra, algebraic algorithms and error-correcting codes. 11th international symposium, AAECC-11, Paris, France, July 17-22, 1995. Proceedings
• An improved upper complexity bound for the topology computation of a real algebraic plane curve
• On improving approximate results of Buchberger's algorithm by Newton's method
• Computer Algebra of Polynomials and Rational Functions
• The Calculation of Multivariate Polynomial Resultants
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