Corpus ID: 237940170

Un principe d'Ax-Kochen-Ershov imaginaire

@inproceedings{Hils2021UnPD,
title={Un principe d'Ax-Kochen-Ershov imaginaire},
author={Martin Hils and Silvain Rideau-Kikuchi},
year={2021}
}
• Published 24 September 2021
• Mathematics
We study interpretable sets in henselian and σ-henselian valued fields with value group elementarily equivalent to Q or Z. Our first result is an Ax-Kochen-Ershov type principle for weak elimination of imaginaries in finitely ramified characteristic zero henselian fields — relative to value group imaginaries and residual linear imaginaries. We extend this result to the valued difference context and show, in particular, that existentially closed equicharacteristic zero multiplicative difference… Expand

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