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Exemples de composantes irréductibles et non réduites du schéma de Hilbert des courbes lisses et connexes de ${\bf P}^3$ (II)

Said Azziz
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Abstract

Soit $H_{d,g}$ le schéma de Hilbert des courbes lisses et connexes de degré $d$ et genre $g$ de l'espace projectif ${\bf P}^3$ sur un corps $k$ algébriquement clos de caractéristique nulle. Le but principal de cet article est d'exhiber des composantes irréductibles et non réduites de $H_{d,g}$ dont l'élément général correspond à une courbe tracée sur une surface quartique à droite double.

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Said Azziz. 1997-01-29. Exemples de composantes irréductibles et non réduites du schéma de Hilbert des courbes lisses et connexes de ${\bf P}^3$ (II). https://arxiv.org/abs/alg-geom/9701018

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