On parameterizations of plane rational curves and their syzygies

DOI10.1002/mana.201500264zbMath1342.14064arXiv1507.02227OpenAlexW1854339777MaRDI QIDQ2805373

Monica Idà, Alessandro Gimigliano, Alessandra Bernardi

Publication date: 11 May 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.02227

zbMATH Keywords

syzygiesrational normal scrollrational plane curves

Mathematics Subject Classification ID

Plane and space curves (14H50) Special algebraic curves and curves of low genus (14H45) Projective techniques in algebraic geometry (14N05)

Related Items (4)

Singularities of plane rational curves via projections ⋮ The tangent bundle restricted to a rational curve spanning \(\mathbb{P}^3\) ⋮ The singular points of a rational plane curve and its restricted tangent bundle ⋮ The Rees algebra of parametric curves via liftings

Uses Software

• CoCoA

Cites Work

• Unnamed Item
• Normal bundle of rational curves and Waring decomposition
• Strata of vector spaces of forms in \({R = \mathsf k[x, y}\), and of rational curves in \({\mathbb{P}^k}\)]
• The role of the cotangent bundle in resolving ideals of fat points in the plane
• Stable postulation and stable ideal generation: conjectures for fat points in the plane
• The maximal rank conjecture for non-special curves in \({\mathbb{P}}^ n\)
• On the normal bundles of smooth rational space curves
• The normal bundle of a curve on a quadric
• Sur la postulation generique des courbes rationnelles
• On the variety of smooth rational space curves with given degree and normal bundle
• Normal bundles of rational curves in \(P^ 3\).
• The moving line ideal basis of planar rational curves
• Sur La Classification Des Fibres Holomorphes Sur La Sphere de Riemann
• Betti numbers for fat point ideals in the plane: A geometric approach
• The restricted tangent bundle of a rational curve in P²
• The Restricted Tangent Bundle of a Rational Curve on a Quadric in P 3
• A study of singularities on rational curves via syzygies
• Degenerations of surface scrolls and the Gromov-Witten invariants of Grassmannians

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