The maximal rank conjecture for non-special curves in \({\mathbb{P}}^ n\)

DOI10.1007/BF01200358zbMath0631.14029OpenAlexW1963499071WikidataQ123262513 ScholiaQ123262513MaRDI QIDQ1094493

Edoardo Ballico, Philippe Ellia

Publication date: 1987

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

Full work available at URL: https://eudml.org/doc/173888

zbMATH Keywords

degenerationgenuspostulationmaximal rank conjecturecurves with non special hyperplane sections

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 (21)

On the maximal rank of a general union of a multiple linear space and a general rational curve ⋮ On the restriction of vector bundles to good families of curves ⋮ On the birational geometry of moduli spaces of pointed curves ⋮ Computing minimal generators of the ideal of a general projective curve ⋮ On the minimal free resolution of some projective curves ⋮ On the Hilbert function of intersections of a hypersurface with general reducible curves ⋮ Curves in projective spaces: questions and remarks ⋮ Minimal degree equations for curves and surfaces (variations on a theme of Halphen) ⋮ Embeddings of general curves in projective spaces: the range of the quadrics ⋮ Good components of curves in projective spaces outside the Brill–Noether range ⋮ Rational curves and maximal rank in multiprojective spaces ⋮ On the projective normality of line bundles of extremal degree ⋮ Life and death of a cohomology class ⋮ Limit linear series and ranks of multiplication maps ⋮ A remark on Weierstrass points and linear series on multiple covering curves ⋮ On \(k\)-spanned embeddings of projective manifolds ⋮ On the Wahl map of curves with Brill-Noether-Petri condition ⋮ Hypersurfaces singular along smooth nonlinearly normal curves ⋮ On parameterizations of plane rational curves and their syzygies ⋮ On the order of projective curves ⋮ On the twisted endomorphism algebra of a vector bundle on a curve

Cites Work

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• The maximal rank conjecture for non special curves in \({\mathbb{P}}^ 3\)
• On the existence of certain families of curves
• Courbes rationnelles et droites en position générale
• La methode d'Horace pour l'interpolation à plusieurs variables
• Sur la postulation generique des courbes rationnelles
• Joins and higher secant varieties.
• Lectures on Curves on an Algebraic Surface. (AM-59)

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