Imaginaries in equicharacteristic zero henselian fields
Silvain Rideau-Kikuchi, Mariana Vicaría
Published: 2023/11/1
Abstract
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 mix of sorts introduced in earlier works of the two authors and prove elimination of imaginaries down to the field, the k-linear imaginaries and the imaginaries of the value group.