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The existential theory of equicharacteristic Henselian valued fields

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Publication:299143
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DOI10.2140/ant.2016.10.665zbMath1377.03025arXiv1501.04522OpenAlexW1867785326MaRDI QIDQ299143

Sylvy Anscombe, Arno Fehm

Publication date: 22 June 2016

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

Full work available at URL: https://arxiv.org/abs/1501.04522

zbMATH Keywords

decidabilityDiophantine equationsHenselian valued fields


Mathematics Subject Classification ID

Decidability (number-theoretic aspects) (11U05) Decidability and field theory (12L05) Model-theoretic algebra (03C60) Model theory of fields (12L12) Valued fields (12J10)


Related Items

Henselianity in the language of rings, Existential decidability for addition and divisibility in holomorphy subrings of global fields, Axiomatizing the existential theory of \(\mathbb{F}_q((t))\), Decidability via the tilting correspondence, Existentially generated subfields of large fields, An undecidability result for the asymptotic theory of \(p\)-adic fields, Diophantine problems over tamely ramified fields



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