English

A geometric model of an arbitrary differentially closed field of characteristic zero

Algebraic Geometry 2021-03-29 v2

Abstract

We give an elementary construction of an arbitrary differentially closed field and of a universal differential extension of a differential field in terms of Nash function fields. We also give a characterization of any Archimedean ordered differentially closed field in terms of Nash functions.

Keywords

Cite

@article{arxiv.1807.07486,
  title  = {A geometric model of an arbitrary differentially closed field of characteristic zero},
  author = {Stanisław Spodzieja},
  journal= {arXiv preprint arXiv:1807.07486},
  year   = {2021}
}

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29 pages