Strongly minimal reducts of ACVF
Logic
2023-09-20 v2
Abstract
In this document we prove: Let be an algebraically closed valued field and let be a -definable group that is either the multiplicative group or contains a finite index subgroup that is -definably isomorphic to a -definable subgroup of . Then if is a strongly minimal non locally modular structure definable in and expanding , it interprets an infinite field. This document is the PhD thesis of the author and it was advised by professors Assaf Hasson and Alf Onshuus.
Keywords
Cite
@article{arxiv.2308.16133,
title = {Strongly minimal reducts of ACVF},
author = {Santiago Pinzon},
journal= {arXiv preprint arXiv:2308.16133},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2211.00267