Imaginaries in equicharacteristic zero henselian fields

2023/11/01 by Rideau-Kikuchi, Silvain, Vicaría, Mariana
#FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.2311.00657

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.

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