Non-Archimedean Tame Topology and Stably Dominated Types

DOI10.1515/9781400881222zbMath1365.14033arXiv1009.0252OpenAlexW4205387864MaRDI QIDQ2789579

Publication date: 2 March 2016

Full work available at URL: https://arxiv.org/abs/1009.0252

Model-theoretic algebra (03C60) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Special properties of topological spaces (54F99) Rigid analytic geometry (14G22) Applications of model theory (03C98) Model theory of ordered structures; o-minimality (03C64)

Related Items (46)

A Poincaré lemma for real-valued differential forms on Berkovich spaces ⋮ PETERZIL–STEINHORN SUBGROUPS AND -STABILIZERS IN ACF ⋮ On stably pointed varieties and generically stable groups in ACVF ⋮ Cohomology of algebraic varieties over non-archimedean fields ⋮ Trace formulas for motivic volumes ⋮ The canonical topology on dp-minimal fields ⋮ A Lefschetz hyperplane theorem for non-Archimedean Jacobians ⋮ Berkovich curves and Schottky uniformization. II: Analytic uniformization of Mumford curves ⋮ A Riemann-Hurwitz formula for skeleta in non-Archimedean geometry ⋮ Model theory: combinatorics, groups, valued fields and neostability. Abstracts from the workshop held January 8--14, 2023 ⋮ Mini-workshop: Topological and differential expansions of o-minimal structures. Abstracts from the mini-workshop held November 27 -- December 3, 2022 ⋮ Some definable types that cannot be amalgamated ⋮ Non-Archimedean integrals as limits of complex integrals ⋮ Geometric arcs and fundamental groups of rigid spaces ⋮ Continuous \(K\)-theory and cohomology of rigid spaces ⋮ An invitation to extension domination ⋮ Motivic integral of \(K3\) surfaces over a non-Archimedean field ⋮ The six Grothendieck operations on o-minimal sheaves ⋮ Polynomial approximation of Berkovich spaces and definable types ⋮ Limits of tropicalizations ⋮ Valued difference fields and \(\mathrm{NTP}_2\) ⋮ Semilinear stars are contractible ⋮ The convergence Newton polygon of a \(p\)-adic differential equation. I: Affinoid domains of the Berkovich affine line ⋮ Imaginaries and invariant types in existentially closed valued differential fields ⋮ Some results of algebraic geometry over Henselian rank one valued fields ⋮ Singular semipositive metrics in non-Archimedean geometry ⋮ Fundamental group in o-minimal structures with definable Skolem functions ⋮ Hahn analytification and connectivity of higher rank tropical varieties ⋮ VC density of definable families over valued fields ⋮ Valued fields, metastable groups ⋮ Convergence Polygons for Connections on Nonarchimedean Curves ⋮ About Hrushovski and Loeser’s Work on the Homotopy Type of Berkovich Spaces ⋮ Skeletons and Fans of Logarithmic Structures ⋮ Radiality of definable sets ⋮ Pro-definability of spaces of definable types ⋮ Topology of nonarchimedean analytic spaces and relations to complex algebraic geometry ⋮ DEFINABLE SETS OF BERKOVICH CURVES ⋮ Model Theory in Algebra, Analysis and Arithmetic: A Preface ⋮ Some Themes Around First Order Theories Without the Independence Property ⋮ Hensel minimality I ⋮ On p-adic uniformization of abelian varieties with good reduction ⋮ Definable functions continuous on curves in o-minimal structures ⋮ A note on \(\mu\)-stabilizers in ACVF ⋮ Reified valuations and adic spectra ⋮ SUR LES COMPOSANTES CONNEXES D’UNE FAMILLE D’ESPACES ANALYTIQUES -ADIQUES ⋮ The universal tropicalization and the Berkovich analytification

This page was built for publication: Non-Archimedean Tame Topology and Stably Dominated Types