La définissabilité des entiers dans les corps de courbes réelles archimédiens. (Definability of the natural numbers in function fields over an Archimedean field)

DOI10.1016/S1631-073X(03)00115-8zbMath1023.03028OpenAlexW2086174205MaRDI QIDQ1408109

Luc Bélair

Publication date: 15 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(03)00115-8

zbMATH Keywords

function fieldelliptic curvesformally real fieldArchimedean orderdefinability of natural numbers

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Model theory of fields (12L12)

Related Items (1)

First-order definitions of rational functions and \({\mathcal S}\)-integers over holomorphy rings of algebraic functions of characteristic 0

Cites Work

• Unnamed Item
• Indécidabilité des corps de courbe réelle
• THE UNDECIDABILITY OF PURE TRANSCENDENTAL EXTENSIONS OF REAL FIELDS

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