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.
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@article{CRMATH_2010__348_13-14_727_0, author = {Rond, Guillaume}, 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}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2010.06.018/} }
TY - JOUR AU - Rond, Guillaume TI - Sur la lissification de type Płoski–Popescu JO - Comptes Rendus. Mathématique PY - 2010 SP - 727 EP - 729 VL - 348 IS - 13-14 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2010.06.018/ DO - 10.1016/j.crma.2010.06.018 LA - fr ID - CRMATH_2010__348_13-14_727_0 ER -
Rond, Guillaume. Sur la lissification de type Płoski–Popescu. Comptes Rendus. Mathématique, Tome 348 (2010) no. 13-14, pp. 727-729. doi : 10.1016/j.crma.2010.06.018. http://archive.numdam.org/articles/10.1016/j.crma.2010.06.018/
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