paper

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

arXiv:1807.07486 · doi:10.1090/tran/8257

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.

29 pages