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.
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.
Accepté le :
Publié le :
Guillaume Rond 1
@article{CRMATH_2010__348_13-14_727_0, author = {Guillaume Rond}, title = {Sur la lissification de type {P{\l}oski{\textendash}Popescu}}, journal = {Comptes Rendus. Math\'ematique}, pages = {727--729}, publisher = {Elsevier}, volume = {348}, number = {13-14}, year = {2010}, doi = {10.1016/j.crma.2010.06.018}, language = {fr}, }
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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