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Geometric Axioms for Differentially Closed Fields with Several Commuting Derivations

2011/03/03 by Omar León Sánchez, Sanchez, Omar Leon
Computer Science · Engineering · #03C65 #12H05 #Advanced Numerical Analysis Techniques #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #FOS: Mathematics #Logic (math.LO) #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1103.0730

openalex publication_date 2011/03/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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