English

Imaginaries, invariant types and pseudo p-adically closed fields

Logic 2019-10-28 v3

Abstract

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

Keywords

Cite

@article{arxiv.1802.00256,
  title  = {Imaginaries, invariant types and pseudo p-adically closed fields},
  author = {Samaria Montenegro and Silvain Rideau},
  journal= {arXiv preprint arXiv:1802.00256},
  year   = {2019}
}

Comments

Minor corrections. Acknowledgement of support by ValCoMo (ANR-13-BS01-0006) added

R2 v1 2026-06-23T00:07:25.018Z