The algebra and model theory of tame valued fields

DOI10.1515/crelle-2014-0029zbMath1401.13011arXiv1304.0194OpenAlexW2963536985MaRDI QIDQ323734

Franz-Viktor Kuhlmann

Publication date: 10 October 2016

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.0194

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Valued fields (12J10)

Related Items (22)

The valuation theory of deeply ramified fields and its connection with defect extensions ⋮ On stably pointed varieties and generically stable groups in ACVF ⋮ Henselianity in the language of rings ⋮ Counting the number of distinct distances of elements in valued field extensions ⋮ Subfields of algebraically maximal Kaplansky fields ⋮ On valuation independence and defectless extensions of valued fields ⋮ Approximation types describing extensions of valuations to rational function fields ⋮ Unnamed Item ⋮ Distances of elements in valued field extensions ⋮ Model theory: combinatorics, groups, valued fields and neostability. Abstracts from the workshop held January 8--14, 2023 ⋮ Density of composite places in function fields and applications to real holomorphy rings ⋮ Defect extensions and a characterization of tame fields ⋮ Characterizing NIP henselian fields ⋮ Axiomatizing the existential theory of \(\mathbb{F}_q((t))\) ⋮ Decidability via the tilting correspondence ⋮ Tame key polynomials ⋮ The model theory of Cohen rings ⋮ Elimination of ramification. II: Henselian rationality ⋮ Infinite towers of Galois defect extensions of Kaplansky fields ⋮ NIP Henselian valued fields ⋮ Burden of Henselian valued fields in the Denef-Pas language ⋮ Diophantine problems over tamely ramified fields

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