DOI: 10.1017/fms.2026.10234 ISSN: 2050-5094
Imaginaries in equicharacteristic zero henselian fields
Silvain Rideau-Kikuchi, Mariana VicaríaAbstract
We classify the imaginaries in a large class of equicharacteristic zero henselian valued fields that contains 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.