Generic curves of small genus in \(P^3\) are of maximal rank

DOI10.1007/BF01457526zbMath0501.14017OpenAlexW2026864023MaRDI QIDQ1172111

Edoardo Ballico, Philippe Ellia

Publication date: 1983

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

Full work available at URL: https://eudml.org/doc/163782

zbMATH Keywords

maximal rank conjecturecurves of small genusembedding in projective 3-space

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Embeddings in algebraic geometry (14E25) Projective techniques in algebraic geometry (14N05)

Related Items (10)

On the postulation of a general projection of a curve in \(P^ N\), N\(\geq 4\) ⋮ On the Hilbert function of intersections of a hypersurface with general reducible curves ⋮ Arithmetically normal sheaves ⋮ Buchsbaum liaison classes ⋮ Postulation and gonality for projective curves ⋮ A note on cohomology modules of rank two bundles ⋮ Courbes rationnelles et droites en position générale ⋮ On the postulation of canonical curves in \(\mathbb P^3\) ⋮ Postulation of a general union of an \(m\)-point and a general smooth rational curve ⋮ On the postulation of a general projection of a curve in \(P^ 3\)

Cites Work

• Divisors on general curves and cuspidal rational curves
• Deformations of space curves
• On projective normality and defining equations of a projective curve of genus three embedded by a complete linear system
• Sur la postulation generique des courbes rationnelles
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