Some non special projective embeddings of rational surfaces

DOI10.1007/BF02571440zbMath0759.14004OpenAlexW2024427532MaRDI QIDQ1204296

Jean D'Almeida, Andre Hirschowitz

Publication date: 3 March 1993

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

Full work available at URL: https://eudml.org/doc/174453

zbMATH Keywords

rational surfaceblow-up of projective planeampleness of divisor

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Divisors, linear systems, invertible sheaves (14C20) Embeddings in algebraic geometry (14E25)

Related Items (16)

On Rational Varieties Smooth Except at a Seminormal Singular Point ⋮ On the Stratification of Nested Hilbert Schemes ⋮ Gaussian maps of plane curves with nine singular points ⋮ Positivity of line bundles on general blow ups of \(\mathbb{P}^2\) ⋮ Very ample line bundles on regular surfaces obtained by projection ⋮ On projective embeddings of generic rational surfaces ⋮ Higher order secant varieties and blown up varieties ⋮ Special Ulrich bundles on non-special surfaces with pg = q = 0 ⋮ General blow-ups of the projective plane ⋮ Maximal rank and minimal generation of some parametric varieties. ⋮ Surfaces associées au plongement canonique des courbes ⋮ Positivity of line bundles on general blow-ups of abelian surfaces ⋮ General blowups of ruled surfaces ⋮ Deformation of canonical morphisms and the moduli of surfaces of general type ⋮ The moduli of singular curves on \(K3\) surfaces ⋮ A note on general blow-ups of abelian surfaces

Cites Work

• La methode d'Horace pour l'interpolation à plusieurs variables
• Birational morphisms to \({\mathbb{P}}^ 2:\) An ideal-theoretic perspective
• Le problème de Brill-Noether pour les idéaux de ${P}\sp 2$
• Une conjecture pour la cohomologie des diviseurs sur les surfaces rationelles génériques.

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