Zilber's Dichotomy for Differentially Closed Fields with an Automorphism
Logic
2020-06-24 v1
Abstract
The theory of difference-differential fields of characteristic zero has a model-companion denoted by . Previously we proved a weak version of Zilber's dichotomy for . In this paper we use arc spaces techniques as developed by Moosa, Pillay and Scanlon to suppress the extra hypothesis needed before and prove the full Zilber's dichotomy for , we also state how these techniques generalise to partial differential fields with an automorphism.
Keywords
Cite
@article{arxiv.2006.12673,
title = {Zilber's Dichotomy for Differentially Closed Fields with an Automorphism},
author = {Ronald F. Bustamante Medina},
journal= {arXiv preprint arXiv:2006.12673},
year = {2020}
}