Imaginaries in perfect bounded pseudo algebraically closed fields with finitely many independent valuations
Logic
2026-04-03 v2
Abstract
In this paper, we prove weak elimination of imaginaries for perfect bounded pseudo-algebraically closed fields equipped with finitely many independent valuations. Our approach combines an extension result for types to invariant types with an amalgamation theorem. As a special case, we obtain full elimination of imaginaries when the field is equipped with a single valuation.
Keywords
Cite
@article{arxiv.2604.00123,
title = {Imaginaries in perfect bounded pseudo algebraically closed fields with finitely many independent valuations},
author = {Bryan González Leandro},
journal= {arXiv preprint arXiv:2604.00123},
year = {2026}
}