La borne de Jacobi pour une diffi{\'e}t{\'e} d{\'e}finie par un syst{\`e}me quasi r{\'e}gulier
Differential Geometry
2007-05-23 v1
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.
Cite
@article{arxiv.math/0701838,
title = {La borne de Jacobi pour une diffi{\'e}t{\'e} d{\'e}finie par un syst{\`e}me quasi r{\'e}gulier},
author = {François Ollivier and Brahim Sadik},
journal= {arXiv preprint arXiv:math/0701838},
year = {2007}
}
Comments
6 pages, submitted to the CRAS de Paris