3 papers
math.LO2024
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…
math.LO2024
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…
math.LO2023
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…