Model Theory of Differentially Closed Fields with a Generic Automorphism
Logic
2009-07-24 v1 Algebraic Geometry
Abstract
E. Hrushovski proved tha the theory of difference-differential fields has a model companion. We prove this result and other maind properties of this theory that we call DCFA. We describe the SU rank a its relation with transcendence degree. We prove a version of Zilber's dichotomy and we give a description of Abelian definable groups.
Keywords
Cite
@article{arxiv.0907.3959,
title = {Model Theory of Differentially Closed Fields with a Generic Automorphism},
author = {Ronald F. Bustamante Medina},
journal= {arXiv preprint arXiv:0907.3959},
year = {2009}
}
Comments
Doctoral thesis, advised by Zoe Chatzidakis