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}
}
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

References

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TLDR
The paper includes a quantifier elimination theorem for real closed valued fields in a language with sorts for the field, value group and residue field and shows elimination of imaginaries for real close valued fields to suitable sorts. Expand
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