Singularities of plane rational curves via projections

DOI10.1016/j.jsc.2017.05.003zbMath1390.14183arXiv1609.01877OpenAlexW2963813782MaRDI QIDQ1680164

Monica Idà, Alessandro Gimigliano, Alessandra Bernardi

Publication date: 22 November 2017

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

Full work available at URL: https://arxiv.org/abs/1609.01877

zbMATH Keywords

projectionsalgorithmssingularitiesrational curvesparameterizations

Mathematics Subject Classification ID

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

Related Items (8)

Strict inclusions of high rank loci ⋮ The T-function of a parametric curve ⋮ \texttt{PTOPO}: computing the geometry and the topology of parametric curves ⋮ On the Bounded Negativity Conjecture and singular plane 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 ⋮ Freeness and invariants of rational plane curves ⋮ Remarks on double points of plane curves

Uses Software

• CASA
• CoCoA
• Macaulay2
• Bertini

Cites Work

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• Ideals defined by matrices and a certain complex associated with them
• Geometry of syzygies via Poncelet varieties
• A study of singularities on rational curves via syzygies
• Introduction to Singularities and Deformations
• The Secant Bundle of a Projective Variety

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