Comptes Rendus
no. 4
Deformations of locally complete intersections
Catriona Maclean1
1Institut de mathématiques de Jussieu, Université Paris 6, 175, rue de Chevaleret, 75013, Paris, France
Comptes Rendus. Mathématique, Volume 335 (2002) no. 4, pp. 355-358

Given a projective l.c.i. scheme, X⊂ℙ N , 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.

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.

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DOI: 10.1016/S1631-073X(02)02490-1

Catriona Maclean  1

1 Institut de mathématiques de Jussieu, Université Paris 6, 175, rue de Chevaleret, 75013, Paris, France 
Catriona Maclean. Deformations of locally complete intersections. Comptes Rendus. Mathématique, Volume 335 (2002) no. 4, pp. 355-358. doi: 10.1016/S1631-073X(02)02490-1
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[1] R. Hartshorne, Algebraic Geometry, Grad. Texts in Math., Vol. 52, Springer

[2] A. Grothendieck, S.G.A., Facsimile 1, exposes 1–3, IHES, 1962

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