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Dans cet article, nous étudions le schéma de Hilbert des courbes gauches (de pure dimension 1 et sans points immergés) de degré et genre , qui est le plus grand genre pour lequel l’étude de est non triviale. Nous commençons par donner, pour chaque valeur de , tous les modules de Rao des courbes de et ses sous-schémas à cohomologie constante, et nous décrivons la courbe générique de chacun de ces sous-schémas. Nous déduisons ensuite les composantes irréductibles et la dimension de . Enfin,...
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