La borne de Jacobi pour une diffiété définie par un système quasi régulier

2007/01/29 by François Ollivier, Ollivier, François, Brahim Sadik +1
Mathematics · #34A26 #34A34 #58A20 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:34A26 #msc:34A34 #msc:58A20

paper · pdf · doi:10.48550/arxiv.math/0701838

6 pages, submitted to the CRAS de Paris

arxiv created 2007/01/29 · openalex publication_date 2007/01/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that Jacobi's bound for the order of a system of ordinary differential equations stands in the case of a diffiety defined by a quasi-regular system. We extend the result when there are less equations than variables and characterize the case when the bound is reached.

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