Imaginaries in equicharacteristic zero henselian fields
Logic
2026-03-20 v4
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.
Keywords
Cite
@article{arxiv.2311.00657,
title = {Imaginaries in equicharacteristic zero henselian fields},
author = {Silvain Rideau-Kikuchi and Mariana Vicaría},
journal= {arXiv preprint arXiv:2311.00657},
year = {2026}
}
Comments
35 pages. Comments welcome !