Characterizing diophantine henselian valuation rings and valuation ideals

DOI10.1112/plms.12042zbMath1436.03192arXiv1602.01233OpenAlexW3124789037MaRDI QIDQ5357347

Sylvy Anscombe, Arno Fehm

Publication date: 15 September 2017

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.01233

zbMATH Keywords

Diophantine definitionsHenselian valuations

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Rational points (14G05) Local ground fields in algebraic geometry (14G20) Interpolation, preservation, definability (03C40) Model theory (number-theoretic aspects) (11U09) Model theory of fields (12L12) Valued fields (12J10) (p)-adic and power series fields (11D88)

Related Items (3)

Axiomatizing the existential theory of \(\mathbb{F}_q((t))\) ⋮ Recent progress on definability of Henselian valuations ⋮ Denseness results in the theory of algebraic fields

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