An application of Tarski's principle to absolute Galois groups of function fields

DOI10.1016/0168-0072(87)90076-5zbMath0645.12009OpenAlexW2040868128MaRDI QIDQ1103006

Paulo Ribenboim, L. P. D. van den Dries

Publication date: 1987

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-0072(87)90076-5

zbMATH Keywords

real closed fieldtransfer principleabsolute Galois group of the rational function fieldTarski principle

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Separable extensions, Galois theory (12F10) Algebraic functions and function fields in algebraic geometry (14H05) Real algebraic and real-analytic geometry (14Pxx) Ultraproducts and field theory (12L10)

Related Items (1)

Toward a theorem of Douady

Cites Work

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• Lectures on an introduction to Grothendieck's theory of the fundamental group
• Diophantine problems over local fields. III: Decidable fields
• Die Struktur der absoluten Galoisgruppe über dem Körper \(R(t)\)
• Elementare Aussagen zur Arithmetik und Galoistheorie von Funktionenkörpern.

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