In this Note, we prove, in the p-adic case, a 0–1 law about the linearization of families under a polynomial perturbation in t. This gives new examples of non linearizable functions in the p-adic case.
Dans cette Note, on prouve, dans le cadre p-adique, une loi de tout ou presque rien concernant la linéarisation de familles qui subissent une perturbation polynômiale en t. Ceci fournit de nouveaux exemples de fonctions non linéarisables dans le cas p-adique.
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Dominique Vieugué 1
@article{CRMATH_2004__339_9_631_0, author = {Dominique Vieugu\'e}, title = {G\'en\'eralisation d'un th\'eor\`eme de {R.} {Perez-Marco} au cas \protect\emph{p}-adique}, journal = {Comptes Rendus. Math\'ematique}, pages = {631--636}, publisher = {Elsevier}, volume = {339}, number = {9}, year = {2004}, doi = {10.1016/j.crma.2004.09.011}, language = {fr}, }
Dominique Vieugué. Généralisation d'un théorème de R. Perez-Marco au cas p-adique. Comptes Rendus. Mathématique, Volume 339 (2004) no. 9, pp. 631-636. doi : 10.1016/j.crma.2004.09.011. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2004.09.011/
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