On space curves with good cohomological properties

DOI10.1007/BF01445225zbMath0724.14019OpenAlexW2039051645MaRDI QIDQ2277043

Gunnar Fløystad

Publication date: 1991

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

Full work available at URL: https://eudml.org/doc/164884

zbMATH Keywords

space curvemaximal rank curvecohomology function

Mathematics Subject Classification ID

Plane and space curves (14H50) Classical real and complex (co)homology in algebraic geometry (14F25)

Related Items (8)

Curves and stick figures not contained in a hypersurface of a given degree ⋮ The maximal genus of space curves in the range A ⋮ Curves in projective spaces: questions and remarks ⋮ Minimal degree equations for curves and surfaces (variations on a theme of Halphen) ⋮ Good components of curves in projective spaces outside the Brill–Noether range ⋮ On curves with natural cohomology and their deficiency modules ⋮ Maximal rank of space curves in the range A ⋮ Non-gaps for the genera for space curves in the range A

Cites Work

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• Construction of space curves with good properties
• The maximal rank conjecture for non special curves in \({\mathbb{P}}^ 3\)
• Classification of maximal rank curves in the liaison class \(L_ n\)
• Existence de faisceaux réflexifs de rang deux sur \({\mathbb{P}}^ 3\) à bonne cohomologie. (Existence of reflexive sheaves of rank two on \({\mathbb{P}}^ 3\) with good homology)
• Nouvelles courbes de bon genre dans l'espace projectif. (New curves of good genus in projective space)
• Sur la postulation generique des courbes rationnelles
• Liaison equivalence classes
• Liaison des variétés algébriques. I
• Liaison among curves in \(\mathbb{P}^3\)
• The Structure of an Even Liaison Class
• Genre des courbes de l'espace projectif. II
• On degrees and genera of curves on smooth quartic surfaces in P³
• The Lazarsfeld-Rao Problem for Liaison Classes of Two-Codimensional Subschemes of P n
• Cohomology of a general instanton bundle
• Lectures on Curves on an Algebraic Surface. (AM-59)

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