Elementary geometric local-global principles for fields

DOI10.1016/j.apal.2013.05.003zbMath1367.12001arXiv1408.4231OpenAlexW2963518623MaRDI QIDQ385805

Arno Fehm

Publication date: 11 December 2013

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

Full work available at URL: https://arxiv.org/abs/1408.4231

zbMATH Keywords

PRPlocal-global principlediophantine definabilityP\(p\)CPSC

Mathematics Subject Classification ID

Rational points (14G05) Model theory (number-theoretic aspects) (11U09) Model theory of fields (12L12) Quantifier elimination, model completeness, and related topics (03C10) Field arithmetic (12E30) Totally real fields (11R80) Formally (p)-adic fields (12J12)

Related Items (4)

Elementary geometric local-global principles for fields ⋮ Approximation theorems for spaces of localities ⋮ THE ELEMENTARY THEORY OF LARGE FIELDS OF TOTALLY -ADIC NUMBERS ⋮ Denseness results in the theory of algebraic fields

Cites Work

• Elementary geometric local-global principles for fields
• The absolute Galois group of subfields of the field of totally \(S\)-adic numbers
• Decidable theories of pseudo-\(p\)-adic closed fields
• Regularly r-closed fields
• Lectures on formally real fields
• Closed subgroups of G(Q) with involutions
• Formally \(p\)-adic fields
• Relative regular closedness and \(\pi\)-valuations
• Places of algebraic function fields in arbitrary characteristic
• On Rumely's local-global principle
• Embedding problems over large fields
• Groupes de Picard et problèmes de Skolem. II
• Field Arithmetic
• The Absolute Galois Group of the Field of Totally S-Adic Numbers
• The absolute Galois group of a pseudo p-adically closed field.
• Rumely’s local global principle for algebraic 𝑃𝒮𝒞 fields over rings
• Nonsingular Hasse principle for rings
• PSC Galois Extensions of Hilbertian Fields
• Model Theory
• Structure of Witt rings, quotients of abelian group rings and orderings of fields
• Valued Fields
• Pseudo-algebraically closed rings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Elementary geometric local-global principles for fields