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Pré-Publication, Document De Travail Année : 2023

Imaginaries in equicharacteristic zero henselian fields

Résumé

We prove an elimination of imaginaires results for (almost all) henselian valued fields of equicharacteristic zero. To do so, we consider a mix of sorts introduced in earlier works of the two authors and define a generalized version of the k-linear sorts. Under technical assumptions on the value group we prove that the imaginaries of such a valued field can be elimininated in the field, the k-linear sorts and the imaginaries of the value group.

Dates et versions

hal-04309737 , version 1 (27-11-2023)

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Silvain Rideau-Kikuchi, Mariana Vicaría. Imaginaries in equicharacteristic zero henselian fields. 2023. ⟨hal-04309737⟩
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