Comptes Rendus
no. 13-14
Algèbre
Sur la lissification de type Płoski–Popescu
[About the Płoski–Popescu smoothing theorem]

Presented by: Michel Raynaud

Guillaume Rond1
1 Institut de mathématiques de Luminy, campus de Luminy, case 907, 13288 Marseille cedex 9
Comptes Rendus. Mathématique, Volume 348 (2010) no. 13-14, pp. 727-729.

We prove a version of the Popescu's smoothing theorem for W-systems defined by J. Denef and L. Lipschitz. This generalizes Płoski's version for analytic equations in characteristic zero.

Nous démontrons une version du théorème de lissification de D. Popescu pour les W-systèmes au sens de J. Denef et L. Lipschitz. Ceci généralise la version pour les équations analytiques en caractéristique nulle due à A. Płoski.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2010.06.018

Guillaume Rond 1

1 Institut de mathématiques de Luminy, campus de Luminy, case 907, 13288 Marseille cedex 9 
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Guillaume Rond. Sur la lissification de type Płoski–Popescu. Comptes Rendus. Mathématique, Volume 348 (2010) no. 13-14, pp. 727-729. doi : 10.1016/j.crma.2010.06.018. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.06.018/

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[3] M. Artin Algebraic approximation of structures over complete local rings, Publ. Math. IHES, Volume 36 (1969), pp. 23-58

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[8] C. Rotthaus Rings with approximation property, Math. Ann., Volume 287 (1990) no. 3, pp. 455-466

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