English

On the model companion of partial differential fields with an automorphism

Logic 2014-07-10 v2

Abstract

We prove that the class of partial differential fields of characteristic zero with an automorphism has a model companion. We then establish the basic model theoretic properties of this theory and prove that it satisfies the Zilber dichotomy for finite dimensional minimal types.

Keywords

Cite

@article{arxiv.1309.3539,
  title  = {On the model companion of partial differential fields with an automorphism},
  author = {Omar Leon Sanchez},
  journal= {arXiv preprint arXiv:1309.3539},
  year   = {2014}
}