Nouvelles courbes de bon genre dans l'espace projectif. (New curves of good genus in projective space)

DOI10.1007/BF01456330zbMath0678.14007OpenAlexW2075651099MaRDI QIDQ1123940

Robin Hartshorne, Andre Hirschowitz

Publication date: 1988

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

Full work available at URL: https://eudml.org/doc/164368

zbMATH Keywords

degreecurves in projective 3-spacemaximum genus of a non singular connected curve

Mathematics Subject Classification ID

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

Related Items

Stable reflexive sheaves. III ⋮ Notes on varieties of codimension 3 in \(\mathbb{P}^ N\) ⋮ Vector bundles, reflexive sheaves and algebraic surfaces ⋮ 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) ⋮ Genre de courbes lisses tracées sur certaines surfaces rationnelles de $\bbfP\sp 3$ ⋮ 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) ⋮ Curves with maximal rank, but not aCM, with very high genera in projective spaces ⋮ Curves of maximum genus in range A and stick-figures ⋮ The maximum genus problem for locally Cohen-Macaulay space curves ⋮ Non-gaps for the genera for space curves in the range A ⋮ On space curves with good cohomological properties ⋮ Numerical invariants of rank-2 arithmetically Buchsbaum sheaves ⋮ Globally generated vector bundles on the Segre threefold with Picard number two ⋮ On Banica sheaves and Fano manifolds ⋮ Nouvelles surfaces à nœuds dans \({\mathbb{P}}^ 3\) ⋮ Noether-Lefschetz, space curves and mathematical instantons

Cites Work

• The maximal rank conjecture for non special curves in \({\mathbb{P}}^ 3\)
• Stable reflexive sheaves. II
• Stable reflexive sheaves. III
• Stable vector bundles of rank 2 on \(P^ 3\)
• Restriction theorems for stable rank 3 vector bundles on \(P^ n\).
• Stable Rank 2 Reflexive Sheaves on P 3 with Small c 2 and Applications
• Lectures on Curves on an Algebraic Surface. (AM-59)
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