Computing minimal generators of the ideal of a general projective curve

DOI10.1016/j.jsc.2003.04.001zbMath1137.14315OpenAlexW2012737090MaRDI QIDQ2643509

Edoardo Ballico, Ferruccio Orecchia

Publication date: 24 August 2007

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

Full work available at URL: https://doi.org/10.1016/j.jsc.2003.04.001

zbMATH Keywords

projective curveHilbert schemerational normal curvelinepostulationreducible curve

Mathematics Subject Classification ID

Computational aspects of algebraic curves (14Q05) Projective techniques in algebraic geometry (14N05) Commutative rings and modules of finite generation or presentation; number of generators (13E15)

Cites Work

• On a theorem of Castelnuovo, and the equations defining space curves
• The maximal rank conjecture for non-special curves in \({\mathbb{P}}^ n\)
• Minimally generating ideals of rational parametric curves in polynomial time
• The ideal generation conjecture for general rational projective curves
• On the homogeneous ideal of the generic union of lines in 3.
• Lectures on Curves on an Algebraic Surface. (AM-59)
• Implicitization of a general union of parametric varieties
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Computing minimal generators of the ideal of a general projective curve