Construction of space curves with good properties

DOI10.1007/BF01446556zbMath0693.14018MaRDI QIDQ584337

Gunnar Fløystad

Publication date: 1991

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

Full work available at URL: https://eudml.org/doc/164765

zbMATH Keywords

Hilbert schemenumber of modulicurves with maximal rank

Mathematics Subject Classification ID

Plane and space curves (14H50) Parametrization (Chow and Hilbert schemes) (14C05) Projective techniques in algebraic geometry (14N05)

Related Items

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 ⋮ Hyperplane sections of space curves of small genus ⋮ 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 ⋮ An interpolation problem for the normal bundle of curves of genusg ≥ 2 and high degree in ℙ^r ⋮ Curves of maximum genus in range A and stick-figures ⋮ Monads on projective spaces ⋮ Monads on projective spaces ⋮ Maximal rank of space curves in the range A ⋮ Non-gaps for the genera for space curves in the range A ⋮ On space curves with good cohomological properties ⋮ Space curves with the expected postulation

Cites Work

• Unnamed Item
• The maximal rank conjecture for non special curves in \({\mathbb{P}}^ 3\)
• On the existence of certain families of curves
• Classification of maximal rank curves in the liaison class \(L_ n\)
• Sur la postulation generique des courbes rationnelles
• Components of the Hilbert scheme of smooth space curves with the expected number of moduli
• Curves on surfaces with multiple line.