Hensel minimality II: Mixed characteristic and a diophantine application
DOI10.1017/fms.2023.91arXiv2104.09475OpenAlexW3153302799MaRDI QIDQ6052073
Raf Cluckers, Silvain Rideau-Kikuchi, Immanuel Halupczok, Floris Vermeulen
Publication date: 23 October 2023
Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.09475
Rational points (14G05) Model theory (03C99) Heights (11G50) 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)
Cites Work
- Unnamed Item
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- \(C^ k\)-resolution of semialgebraic mappings, addendum to volume growth and entropy
- Cell decompositions of \(C\)-minimal structures
- On variants of \(o\)-minimality
- Tame topology over definable uniform structures
- Point counting and Wilkie's conjecture for non-Archimedean Pfaffian and Noetherian functions
- Uniform Yomdin-Gromov parametrizations and points of bounded height in valued fields
- The rational points of a definable set
- Differential calculus over general base fields and rings.
- The number of integral points on arcs and ovals
- NON-ARCHIMEDEAN YOMDIN–GROMOV PARAMETRIZATIONS AND POINTS OF BOUNDED HEIGHT
- b-MINIMALITY
- Definable Sets in Ordered Structures. I
- Uniform p-adic cell decomposition and local zeta functions.
- A version of o-minimality for the p-adics
- Distality in valued fields and related structures
- Hensel minimality I
- Spherically complete models of Hensel minimal valued fields
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