Rational curves of Castelnuovo-Mumford regularity \(d - r+1\)

DOI10.1016/j.jalgebra.2009.01.015zbMath1180.14004OpenAlexW2046111600MaRDI QIDQ1028297

Atsushi Noma

Publication date: 30 June 2009

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.01.015

zbMATH Keywords

rational curveCastelnuovo-Mumford regularitydefining equationsmultisecant line

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Divisors, linear systems, invertible sheaves (14C20)

Related Items (1)

On projective curves of next to maximal regularity

Uses Software

• CoCoA

Cites Work

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• On a theorem of Castelnuovo, and the equations defining space curves
• Une remarque sur un théorème de Gruson-Lazarsfeld-Peskine. (A remark on a theorem by Gruson-Lazarsfeld-Peskine)
• Vector bundles on complex projective spaces
• Some features of \(CoCoA 3\)
• Castelnuovo-Mumford regularity for nonhyperelliptic curves
• Courbes de l'espace projectif: Séries linéaires incomplètes et multisécantes.
• Lectures on Curves on an Algebraic Surface. (AM-59)
• A bound on the Castelnuovo-Mumford regularity for curves.

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