Smooth curves on generic rational surfaces: a differential Horace lemma
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Publication:1589905
DOI10.5802/aif.1805zbMath0969.14026OpenAlexW2320461053MaRDI QIDQ1589905
Publication date: 14 December 2000
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_2000__50_6_1709_0
geometric genusplane curvesprescribed singularitiesPicard groupcohomology groups of line bundlesdifferential Horace lemma
Rational and ruled surfaces (14J26) Plane and space curves (14H50) Configurations and arrangements of linear subspaces (14N20)
Related Items (2)
Maximal rank for planar singularities of multiplicity 2 ⋮ Harbourne–Hirschowitz surfaces whose anticanonical divisors consist only of three irreducible components
Cites Work
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- On families of singular plane projective curves
- Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauville
- Footnotes to a paper of Beniamino Segre. (The number of \(g^1_d\)'s on a general \(d\)-gonal curve, and the unirationality of the Hurwitz spaces of 4-gonal and 5-gonal curves)
- Plane curves of minimal degree with prescribed singularities
- An asymptotic vanishing theorem for generic unions of multiple points
- Systems of plane curves with prescribed singularities: The case of multiplicities less than or equal to four
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
- The irreducibility of the space of curves of a given genus
- On rational surfaces, II
- Une conjecture pour la cohomologie des diviseurs sur les surfaces rationelles génériques.
- Degenerations of Planar Linear Systems
- Linear systems of plane curves with base points of equal multiplicity
- Ample line bundles on smooth surfaces.
- Intersection of plane curves and construction of curves with ordinary singularities
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