A Note on the Axioms for Differentially Closed Fields of Characteristic Zero
- Pierce, David
- Pillay, Anand
Publication date
June 1998
DOI Publisher
Academic Press. ISSN
0021-8693 Citation count (estimate)
35Abstract
AbstractWe rework the foundations of the theory of differentially closed fields of characteristic zero in a geometric setting. The “new” axioms will say that ifVis an irreducible variety andWis an irreducible subvariety of the appropriate torsor τ(V) projecting generically ontoV, thenWhas a generic point of the form (a,D(a))
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