Imaginaries in equicharacteristic zero henselian fields

Forum of Mathematics Sigma 2026 Open access

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Authors: Silvain Rideau-Kikuchi, Mariana Vicaría
DOI: 10.1017/fms.2026.10234
Cited by: 0
References: 24

Abstract

Abstract 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.

Fields of Study & Subjects

Advanced Topology and Set Theory Algebraic Geometry and Number Theory Meromorphic and Entire Functions

Publication details

Journal / source
Forum of Mathematics Sigma
Volume
14
Publication date
1 January 2026
Language
EN