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Comptes Rendus Mathématique
Volume 335, n° 4
pages 355-358 (2002)
Doi : S1631-073X(02)02490-1
Received : 8 November 2001 ; 
Deformations of locally complete intersections
Déformations des schémas localement intersections complètes
 

Catriona Maclean
Institut de mathématiques de Jussieu, Université Paris 6, 175, rue de Chevaleret, 75013, Paris, France 

Note presented by Jean-Pierre Serre

Abstract

Given a projective l.c.i. scheme, XPN, we show that X has a smooth formal neighbourhood in which X is globally a complete intersection; that is, X is the intersection of codim(X ) hypersurfaces. To cite this article: C. Maclean, C. R. Acad. Sci. Paris, Ser. I 335 (2002) 355-358.

The full text of this article is available in PDF format.
Résumé

Soit X un schéma projectif et localement intersection complète. On démontre qu'il existe un voisinage formel, X , de X , dans lequel X est une intersection complète globale ; c'est-à-dire que X est l'intersection de codim(X ) hypersurfaces. Pour citer cet article : C. Maclean, C. R. Acad. Sci. Paris, Ser. I 335 (2002) 355-358.

The full text of this article is available in PDF format.


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