5 papers · 1 filter
Radon measures in the Berkovich space and generically stable measures in ACVF
Alf Onshuus, Mariana Vicaria
In this paper we study Keisler measures in models of ACVF. We give analogue definitions for a Keisler measure to be orthogonal to the value group and stably dominated using unique…
On residual domination and types orthogonal to the value group
Pablo Cubides Kovacsics, Silvain Rideau-Kikuchi, Mariana Vicaría
We present a unifying framework of residual domination for (expansions of) henselian valued fields of equicharacteristic zero, encompassing some valued fields with operators. We sh…
On Descent and germs
Pierre Simon, Mariana Vicaria
We present a new proof of descent for stably dominated types in any theory, dropping the hypothesis of the existence of global invariant extensions. Additionally, we give a much si…
Imaginaries in equicharacteristic zero henselian fields
Silvain Rideau-Kikuchi, Mariana Vicaría
We classify the imaginaries in a large class of equicharacteristic zero henselian valued fields that contain all those with bounded inertia group, and more. To do so, we consider a…
Definable groups in models of Presburger Arithmetic and G^{00}
Alf Onshuus, Mariana Vicaría
This paper is devoted to understand groups definable in Presburger arithmetic. We prove the following theorems: Theorem 1. Every group definable in a model of Presburger Arithmetic…