English

Geometric Axioms for Differentially Closed Fields with Several Commuting Derivations

Logic 2011-03-04 v1

Abstract

A geometric first-order axiomatization of differentially closed fields of characteristic zero with several commuting derivations, in the spirit of Pierce-Pillay, is formulated in terms of a relative notion of prolongation for Kolchin-closed sets.

Keywords

Cite

@article{arxiv.1103.0730,
  title  = {Geometric Axioms for Differentially Closed Fields with Several Commuting Derivations},
  author = {Omar Leon Sanchez},
  journal= {arXiv preprint arXiv:1103.0730},
  year   = {2011}
}
R2 v1 2026-06-21T17:34:49.764Z