Elementary equivalence versus isomorphism. II

DOI10.2140/ANT.2017.11.2091zbMath1390.12008OpenAlexW2775082287MaRDI QIDQ1686477

Florian Pop

Publication date: 15 December 2017

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/ant.2017.11.2091

zbMATH Keywords

first-order definabilityfinitely generated fieldsMilnor \(K\)-groupselementary equivalence versus isomorphismGalois étale cohomologyKato's higher local-global principles

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Cohomological dimension of fields (12G10) Arithmetic algebraic geometry (Diophantine geometry) (11G99) Valuation rings (13F30) Transcendental field extensions (12F20) Model theory of fields (12L12)

Cites Work

• Elementary equivalence versus isomorphism
• Uniform first-order definitions in finitely generated fields
• Infinite finitely generated fields are biinterpretable with ℕ
• A Hasse principle for two dimensional global fields.
• Complexe de de\thinspace Rham-Witt et cohomologie cristalline
• Undecidability and Definability for the Theory of Global Fields

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