La borne de Jacobi pour une diffi{é}t{é} d{é}finie par un syst{è}me quasi r{é}gulier

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.

arXiv comment6 pages, submitted to the CRAS de Paris