On the Hilbert function of intersections of a hypersurface with general reducible curves

zbMath1464.14030arXiv2004.11609MaRDI QIDQ4995447

Edoardo Ballico

Publication date: 24 June 2021

Full work available at URL: https://arxiv.org/abs/2004.11609

zbMATH Keywords

Hilbert functionlinesunion of linescurves in projective spaces

Mathematics Subject Classification ID

Plane and space curves (14H50) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Cites Work

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• The maximal rank conjecture for non special curves in \({\mathbb{P}}^ 3\)
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• On the postulation of a general projection of a curve in \(P^ N\), N\(\geq 4\)
• Sur la postulation generique des courbes rationnelles
• Generic curves of small genus in \(P^3\) are of maximal rank
• Interpolation for Brill-Noether space curves
• The maximal rank conjecture for sections of curves
• Courbes passant par $m$ points généraux de $P\sp 3$
• Interpolation for normal bundles of general curves

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