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

François Ollivier, Brahim Sadik

math.DGarXiv:math/0701838

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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