9 citations · 33 across the 13 of their papers we have counts for
13 papers
Tropical functions on a skeleton
Antoine Ducros, Ehud Hrushovski, François Loeser +1
We prove a general finiteness statement for the ordered abelian group of tropical functions on skeleta in Berkovich analytifications of algebraic varieties. Our approach consists i…
When is the étale open topology a field topology?
Philip Dittmann, Erik Walsberg, Jinhe Ye
We investigate the following question: Given a field , when is the étale open topology induced by a field topology? On the positive side, when is the fractio…
An invitation to extension domination
Kyle Gannon, Jinhe Ye
Motivated by the theory of domination for types, we introduce a notion of domination for Keisler measures called extension domination. We argue that this variant of domination beha…
Beautiful pairs
Pablo Cubides Kovacsics, Martin Hils, Jinhe Ye
We introduce an abstract framework to study certain classes of stably embedded pairs of models of a complete -theory , called \textit{beautiful pairs}, which compri…
The étale open topology over the fraction field of a henselian local domain
Will Johnson, Erik Walsberg, Jinhe Ye
Suppose that is a local domain with fraction field . If is Henselian then the -adic topology over refines the étale open topology. If is regular then the étal…
Éz fields
Erik Walsberg, Jinhe Ye
Let be a field. The étale open topology on the -points of a -variety was introduced in our previous work. The étale open topology is non-discrete if and only i…
The étale-open topology and the stable fields conjecture
Will Johnson, Chieu-Minh Tran, Erik Walsberg +1
For an arbitrary field and -variety , we introduce the étale-open topology on the set of -points of . This topology agrees with the Zariski topology, Euclide…
Cohomology of algebraic varieties over non-archimedean fields
Pablo Cubides Kovacsics, Mário Edmundo, Jinhe Ye
We develop a sheaf cohomology theory of algebraic varieties over an algebraically closed non-trivially valued non-archimedean field based on Hrushovski-Loeser's stable completi…
Stable formulas in ordered structures
Daniel Max Hoffmann, Chieu-Minh Tran, Jinhe Ye
We classify the stable formulas in the theory of Dense Linear Orders without endpoints, the stable formulas in the theory of Divisible Abelian Groups, and the stable formulas witho…
Peterzil-Steinhorn subgroups and -stabilizers in ACF
Moshe Kamensky, Sergei Starchenko, Jinhe Ye
We consider , a linear group defined over , an algebraically closed field. By considering as an embedded residue field of an algebraically closed valued field , we can…
Homotopy Types of Abstract Elementary Classes
Tim Campion, Jinhe Ye
We prove that for any homotopy type , there is an abstract elementary class , with joint embedding, almagamation and no maximal models such that the classifying spa…
Pro-definability of spaces of definable types
Pablo Cubides Kovacsics, Jinhe Ye
We show pro-definability of spaces of definable types in various classical complete first order theories, including complete o-minimal theories, Presburger arithmetic, -adically…
Classifying spaces and the Lascar group
Tim Campion, Greg Cousins, Jinhe Ye
We show that the Lascar group of a first order theory is naturally isomorphic to the fundamental group of the classifyi…