Strongly minimal reducts of ACVF
Logic
2022-11-02 v1
Abstract
Let be a valued algebraically closed field of characteristic and be a -interpretable group that is either locally isomorphic to or to . Then if is a strongly minimal non locally modular structure intepretable in , it interprets a field. We also present an strategy for proving the same without the assumption of having a definable group operation.
Keywords
Cite
@article{arxiv.2211.00267,
title = {Strongly minimal reducts of ACVF},
author = {Santiago Pinzon},
journal= {arXiv preprint arXiv:2211.00267},
year = {2022}
}
Comments
42 pages, 5 chapters. This document is the PhD thesis of the author and it was advised by professors Alf Onshuus and Assaf Hasson