Imaginaries, invariant types and pseudo $p$-adically closed fields
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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.References
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Additional Information
- Samaria Montenegro
- Affiliation: Escuela de Matemática-CIMPA, Universidad de Costa Rica, Costa Rica
- MR Author ID: 1183699
- Email: samaria.montenegroguzman@ucr.ac.cr
- Silvain Rideau-Kikuchi
- Affiliation: CNRS, Sorbonne Université, Université Paris Diderot, Institut de Mathématiques de Jussieu-Paris Rive Gauche, IMJ-PRG, F-75013, Paris, France
- Email: silvain.rideau@imj-prg.fr
- Received by editor(s): February 1, 2018
- Received by editor(s) in revised form: January 16, 2019, August 29, 2019, and October 25, 2019
- Published electronically: November 18, 2020
- Additional Notes: This research was partially supported by ValCoMo (ANR-13-BS01-0006)
- © Copyright 2020 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 374 (2021), 803-828
- MSC (2020): Primary 03C60; Secondary 03C45, 03C98, 12J12
- DOI: https://doi.org/10.1090/tran/8052
- MathSciNet review: 4196378