Imaginaries, invariant types and pseudo 𝑝-adically closed fields

Montenegro, Samaria; Rideau-Kikuchi, Silvain

doi:10.1090/tran/8052

Imaginaries, invariant types and pseudo $p$-adically closed fields
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by Samaria Montenegro and Silvain Rideau-Kikuchi PDF

Trans. Amer. Math. Soc. 374 (2021), 803-828 Request permission

Abstract:

In this paper, we give a general criterion for elimination of imaginaries using an abstract independence relation. We also study germs of definable functions at certain well-behaved invariant types. Finally we apply these results to prove the elimination of imaginaries in bounded pseudo $p$-adically closed fields.

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Imaginaries, invariant types and pseudo $p$-adically closed fields
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Abstract: