NOTES ON EXTREMAL AND TAME VALUED FIELDS

DOI10.1017/jsl.2016.6zbMath1436.03193OpenAlexW4245057689MaRDI QIDQ3188322

Sylvy Anscombe, Franz-Viktor Kuhlmann

Publication date: 19 August 2016

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: http://clok.uclan.ac.uk/14528/1/EXTRNOT.pdf

zbMATH Keywords

polynomialvaluationtame valued fieldextremal valued fieldmodel theory of valued fields

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Model theory of fields (12L12) Valued fields (12J10)

Related Items (4)

Model theory: combinatorics, groups, valued fields and neostability. Abstracts from the workshop held January 8--14, 2023 ⋮ Characterizing NIP henselian fields ⋮ Axiomatizing the existential theory of \(\mathbb{F}_q((t))\) ⋮ Decidability via the tilting correspondence

Cites Work

• Quantifier elimination for Henselian fields relative to additive and multiplicative congruences
• Places of algebraic function fields in arbitrary characteristic
• Embedding problems over large fields
• Images of Additive Polynomials in 𝔽_q((t)) Have the Optimal Approximation Property
• Value groups, residue fields, and bad places of rational function fields
• Characterization of extremal valued fields

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