The geometric theory of \(p\)-adic fields

DOI10.1016/0021-8693(87)90041-XzbMath0623.12009OpenAlexW2025242054MaRDI QIDQ1091428

Edmund P. Robinson

Publication date: 1987

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90041-x

zbMATH Keywords

quantifier eliminationmodel completionp-adically closed fieldsp-adic fieldsdefinable closed setssets of n-th powers

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Algebraic number theory: local fields (11S99) Non-Archimedean valued fields (12J25) Model theory of fields (12L12) Quantifier elimination, model completeness, and related topics (03C10) General valuation theory for fields (12J20)

Related Items (5)

\(p\)-adic ideals of \(p\)-rank \(d\) and the \(p\)-adic Nullstellensatz. ⋮ Anneaux p-adiquement clos et anneaux de fonctions définissables ⋮ Substructures and uniform elimination for p-adic fields ⋮ On the complexity of \(p\)-adic basic semi-algebraic sets ⋮ A transfer theorem in constructive \(p\)-adic algebra

Cites Work

• Unnamed Item
• Formally \(p\)-adic fields
• On definable subsets of p-adic fields

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