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On the Proof of Elimination of Imaginaries in Algebraically Closed Valued Fields

Will Johnson

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Source: Crossref

Published: Sep 1, 2020

DOI: 10.1215/00294527-2020-0017

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Source abstract

We give a simplified proof of elimination of imaginaries (in the geometric sorts) in ACVF, based on ideas of Hrushovski. This proof manages to avoid many of the technical issues which arose in the original proof by Haskell, Hrushovski, and Macpherson.

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On the Proof of Elimination of Imaginaries in Algebraically Closed Valued Fields — Mathematical Frontier Network