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

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

2007-01-29

arxiv.org/abs/math/0701838v1

Mathematics

Differential Geometry

6 pages, submitted to the CRAS de Paris

Scientific paper

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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