Definissabilite dans les Corps de Fonctions $p$-Adiques

Belair, Luc; Duret, Jean-Louis

J. Symbolic Logic, Tome 56 (1991) no. 1, p. 783-785 / Harvested from Project Euclid

Résumé

We study function fields over $p$-adically closed fields in the first-order language of fields. Using ideas of Duret [D], we show that the field of constants is definable, and that the genus is an elementary property.

Publié le : 1991-09-15
Classification:

@article{1183743726,
     author = {Belair, Luc and Duret, Jean-Louis},
     title = {Definissabilite dans les Corps de Fonctions $p$-Adiques},
     journal = {J. Symbolic Logic},
     volume = {56},
     number = {1},
     year = {1991},
     pages = { 783-785},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/1183743726}
}

Belair, Luc; Duret, Jean-Louis. Definissabilite dans les Corps de Fonctions $p$-Adiques. J. Symbolic Logic, Tome 56 (1991) no. 1, pp.  783-785. http://gdmltest.u-ga.fr/item/1183743726/