Journal of Symbolic Logic

Definissabilite dans les Corps de Fonctions $p$-Adiques

Luc Belair and Jean-Louis Duret

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Abstract

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.

Article information

Source
J. Symbolic Logic, Volume 56, Issue 3 (1991), 783-785.

Dates
First available in Project Euclid: 6 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1183743726

Digital Object Identifier
doi:10.2178/jsl/1183743726

Mathematical Reviews number (MathSciNet)
MR1129142

Zentralblatt MATH identifier
0743.03025

JSTOR
links.jstor.org

Citation

Belair, Luc; Duret, Jean-Louis. Definissabilite dans les Corps de Fonctions $p$-Adiques. J. Symbolic Logic 56 (1991), no. 3, 783--785. doi:10.2178/jsl/1183743726. https://projecteuclid.org/euclid.jsl/1183743726


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