A Note on the Axioms for Differentially Closed Fields of Characteristic Zero

✍ Scribed by David Pierce; Anand Pillay

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 122 KB
• Volume: 204
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1997.7359

✦ Synopsis

We rework the foundations of the theory of differentially closed fields of characteristic zero in a geometric setting. The ''new'' axioms will say that if V is an irreducible variety and W is an irreducible subvariety of the appropriate torsor Ž .

V projecting generically onto V, then W has a generic point of the form Ž Ž .. a,D a .