Hensel minimality I

DOI10.1017/fmp.2022.6OpenAlexW4285194979MaRDI QIDQ5863759

Immanuel Halupczok, Silvain Rideau-Kikuchi, Raf Cluckers

Publication date: 3 June 2022

Published in: Forum of Mathematics, Pi (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.13792

zbMATH Keywords

quantifier eliminationLipschitz continuityTaylor approximationnon-Archimedean geometrycell decompositionanalogues to o-minimalitytame geometry on Henselian valued fields

Mathematics Subject Classification ID

Model theory (03C99) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Models of other mathematical theories (03C65) Applications of model theory (03C98) General valuation theory for fields (12J20) (p)-adic and power series fields (11D88) Arcs and motivic integration (14E18)

Related Items (5)

Hensel minimality II: Mixed characteristic and a diophantine application ⋮ Spherically complete models of Hensel minimal valued fields ⋮ Elimination of imaginaries in C((Γ))$\mathbb {C}((\Gamma ))$ ⋮ Definable valuations on ordered fields ⋮ Evaluation of motivic functions, non-nullity, and integrability in fibers

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