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arXiv · 2604.00123

Imaginaries in perfect bounded pseudo algebraically closed fields with finitely many independent valuations

Bryan González Leandro
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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.

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BibTeXRIS

Bryan González Leandro. 2026-03-31. Imaginaries in perfect bounded pseudo algebraically closed fields with finitely many independent valuations. https://arxiv.org/abs/2604.00123

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