SOME PROPERTIES OF ANALYTIC DIFFERENCE VALUED FIELDS
From MaRDI portal
Publication:5738183
DOI10.1017/S1474748015000183zbMath1423.03112arXiv1401.1765MaRDI QIDQ5738183
Publication date: 1 June 2017
Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.1765
Witt vectorsanalytic structureNIPseparated power series\(\tau\)-Henselianityvalued fields with an automorphism
Classification theory, stability, and related concepts in model theory (03C45) Quantifier elimination, model completeness, and related topics (03C10) Difference algebra (12H10) Analytic algebras and generalizations, preparation theorems (32B05)
Related Items (12)
Integration of functions of motivic exponential class, uniform in all non-archimedean local fields of characteristic zero ⋮ Distality in valued fields and related structures ⋮ Burden in Henselian valued fields ⋮ Mini-workshop: Topological and differential expansions of o-minimal structures. Abstracts from the mini-workshop held November 27 -- December 3, 2022 ⋮ \(T\)-convex \(T\)-differential fields and their immediate extensions ⋮ Uniform Yomdin-Gromov parametrizations and points of bounded height in valued fields ⋮ Eliminating field quantifiers in strongly dependent henselian fields ⋮ Imaginaries and invariant types in existentially closed valued differential fields ⋮ Distributions and wave front sets in the uniform non‐archimedean setting ⋮ Strictly convergent analytic structures ⋮ A P-MINIMAL STRUCTURE WITHOUT DEFINABLE SKOLEM FUNCTIONS ⋮ Hensel minimality I
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Toward a model theory for transseries
- Strictly convergent analytic structures
- Fields with analytic structure
- \(p\)-adic and real subanalytic sets
- Valued fields with contractive automorphism and Kaplansky fields
- Topological differential fields
- Quantifier elimination for valued fields equipped with an automorphism
- Relative elimination of quantifiers for Henselian valued fields
- An isomorphism theorem for Henselian algebraic extensions of valued fields
- Types in valued fields with coefficient maps
- Quantifier elimination for Henselian fields relative to additive and multiplicative congruences
- A model complete theory of valued D-fields
- Multiplicative valued difference fields
- Analytic cell decomposition and analytic motivic integration
- b-MINIMALITY
- Euler characteristic of primitiveT-hypersurfaces and maximal surfaces
- Uniform p-adic cell decomposition and local zeta functions.
- On definable subsets of p-adic fields
- One-Dimensional p -Adic Subanalytic Sets
- Rigid Subanalytic Subsets of Curves and Surfaces
- The Theory of Ordered Abelian Groups does not have the Independence Property
- Model theory of the Frobenius on the Witt vectors
- Uniform properties of rigid subanalytic sets
- Diophantine Problems Over Local Fields I
- On the angular component map modulo P
This page was built for publication: SOME PROPERTIES OF ANALYTIC DIFFERENCE VALUED FIELDS