D'autres composantes non réduites de Hilb\({\mathbb{P}}^ 3\). (Other non reduced components of Hilb\({\mathbb{P}}^ 3\))

DOI10.1007/BF01458324zbMath0635.14006OpenAlexW2005541565MaRDI QIDQ1097318

Philippe Ellia

Publication date: 1987

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

Full work available at URL: https://eudml.org/doc/164258

zbMATH Keywords

space curvesfamily of curves on cubic surfacesnon-reduced component of the Hilbert scheme

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Parametrization (Chow and Hilbert schemes) (14C05) Projective techniques in algebraic geometry (14N05) Fine and coarse moduli spaces (14D22)

Related Items

Smoothness of Hilbert scheme in low degree. (Lissité du schéma de Hilbert en bas degré)., Unnamed Item, Dimension des familles de courbes lisses sur une surface quartique normale de $\mathbb{P}3$, The Hilbert scheme of space curves of small diameter, The Hilbert scheme of space curves sitting on a smooth surface containing a line, Obstructions to deforming space curves lying on a smooth cubic surface, Obstructions to deforming curves on a 3-fold, III: Deformations of curves lying on a K3 surface, Obstructions to deforming curves on a 3-fold. II: Deformations of degenerate curves on a del Pezzo 3-fold, On smooth surfaces in projective four-space lying on quartic hypersurfaces with isolated singularities, Rational components of Hilbert schemes, OBSTRUCTED BUNDLES OF RANK TWO ON A QUINTIC SURFACE, Murphy's law in algebraic geometry: Badly-behaved deformation spaces, Obstructions to deforming space curves and non-reduced components of the Hilbert scheme, Irréductibilité de pourd ≤ 11 etg ≤ 2d − 9, Components of the Hilbert scheme of space curves on low-degree smooth surfaces

Cites Work

• Degré des diviseurs sur les familles de courbes de \({\mathbb{P}}^ 3\). (Degree of divisors on families of curves of \({\mathbb{P}}^ 3)\)
• Normal Gorenstein surfaces with ample anti-canonical divisor
• On normal projective surfaces with trivial dualizing sheaf
• Some Numerical Criteria for Contractability of Curves on Algebraic Surfaces
• Genre des courbes de l'espace projectif. II
• Points rationnels des courbes génériques de ${\bbfP}\sp 3$. I
• On Minimally Elliptic Singularities
• Lectures on Curves on an Algebraic Surface. (AM-59)
• Further Pathologies in Algebraic Geometry
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