Fields interpretable in $P$-minimal fields
Logic
2021-03-30 v1 Rings and Algebras
Abstract
We prove that an infinite field interpretable in a -adically closed field is definably isomorphic to a finite extension of . The result remains true in any -minimal field where definable functions are generically differentiable.
Keywords
Cite
@article{arxiv.2103.15198,
title = {Fields interpretable in $P$-minimal fields},
author = {Yatir Halevi and Assaf Hasson and Ya'acov Peterzil},
journal= {arXiv preprint arXiv:2103.15198},
year = {2021}
}