$D$-resultant for rational functions

DOI10.1090/S0002-9939-02-06331-1zbMath0997.14018OpenAlexW1939915063MaRDI QIDQ4529668

Rosario Rubio, Jie-Tai Yu, Jaime Gutierrez

Publication date: 6 May 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06331-1

zbMATH Keywords

implicitization\(D\)-resultantsingularities of the parametric algebraic curve

Mathematics Subject Classification ID

Rational and birational maps (14E05) Computational aspects of algebraic curves (14Q05) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (14)

\texttt{PTOPO}: computing the geometry and the topology of parametric curves ⋮ The limit point and the T-function ⋮ Solving the implicitization, inversion and reparametrization problems for rational curves through subresultants ⋮ Plane curves with minimal discriminant ⋮ Analysis and construction of rational curve parametrizations with non-ordinary singularities ⋮ An in depth analysis, via resultants, of the singularities of a parametric curve ⋮ Computation of the singularities of parametric plane curves ⋮ Computing singular points of plane rational curves ⋮ Singular factors of rational plane curves ⋮ D-resultant and subresultants ⋮ On the problem of proper reparametrization for rational curves and surfaces ⋮ Detecting real singularities of a space curve from a real rational parametrization ⋮ On the equations of the moving curve ideal of a rational algebraic plane curve ⋮ Effective computation of singularities of parametric affine curves

Cites Work

• An inversion formula for two polynomials in two variables
• A rational function decomposition algorithm by near-separated polynomials
• The 𝐷-resultant, singularities and the degree of unfaithfulness
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: $D$-resultant for rational functions