Smoothness of Hilbert scheme in low degree. (Lissité du schéma de Hilbert en bas degré).

DOI10.1016/j.jalgebra.2003.10.018zbMath1062.14009OpenAlexW1992477994MaRDI QIDQ1882874

Sébastien Guffroy

Publication date: 1 October 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.10.018

zbMATH Keywords

double structurenormal bundlespace curves

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Singularities in algebraic geometry (14B05) Plane and space curves (14H50) Parametrization (Chow and Hilbert schemes) (14C05) Special algebraic curves and curves of low genus (14H45) Infinitesimal methods in algebraic geometry (14B10)

Related Items (1)

On the normal bundle of submanifolds of $\mathbb P^n$

Cites Work

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• On the Hilbert scheme of curves of maximal genus in a projective space
• Classification on non-normal quartic surfaces
• D'autres composantes non réduites de Hilb\({\mathbb{P}}^ 3\). (Other non reduced components of Hilb\({\mathbb{P}}^ 3\))
• On the normal bundle of Cartier divisors on projective varieties
• Stable vector bundles of rank 2 on \(P^ 3\)
• Stable rank 2 bundles on \(\mathbb P^3\) with \(c_1=0\), \(c_2=4\), and \(\alpha=1\)
• Genre des courbes de l'espace projectif. II
• Double Structures and Normal Bundle of Space Curves
• Sur l’incomplétude de la série linéaire caractéristique d’une famille de courbes planes à nœuds et à cusps
• Cohomology of a general instanton bundle
• Applications of iterated curve blow-up to set theoretic complete intersections in 3.

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