Imaginaries in equicharacteristic zero henselian fields

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.

35 pages. Comments welcome !

References in corpus (6)

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• Definable equivalence relations and zeta functions of groups
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• Strong ordered Abelian groups and dp-rank
• Residue field domination in some henselian valued fields