Effective computation of singularities of parametric affine curves
From MaRDI portal
Publication:1612159
DOI10.1016/S0022-4049(02)00017-8zbMath1052.14072MaRDI QIDQ1612159
Publication date: 22 August 2002
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Rational and birational maps (14E05) Computational aspects of algebraic curves (14Q05)
Related Items (9)
\texttt{PTOPO}: computing the geometry and the topology of parametric curves ⋮ The limit point and the T-function ⋮ Axial moving planes and singularities of rational space curves ⋮ 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 ⋮ Singular factors of rational plane curves ⋮ Detecting real singularities of a space curve from a real rational parametrization ⋮ Computing the singularities of rational surfaces
Uses Software
Cites Work
- Using Gröbner bases to determine algebra membership, split surjective algebra homomorphisms determine birational equivalence
- A rational function decomposition algorithm by near-separated polynomials
- The 𝐷-resultant, singularities and the degree of unfaithfulness
- $D$-resultant for rational functions
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Effective computation of singularities of parametric affine curves
