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

François Ollivier; Brahim Sadik

doi:10.1016/j.crma.2007.06.010

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

Translated title of the contribution: Jacobi's bound for a diffiety defined by a quasi-regular system

François Ollivier
, Brahim Sadik

INRIA-Futurs and Xyleme
Cadi Ayyad University

Research output: Contribution to journal › Article › peer-review

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. To cite this article: F. Ollivier, B. Sadik, C. R. Acad. Sci. Paris, Ser. I 345 (2007).

Translated title of the contribution	Jacobi's bound for a diffiety defined by a quasi-regular system
Original language	French
Pages (from-to)	139-144
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	345
Issue number	3
DOIs	https://doi.org/10.1016/j.crma.2007.06.010
Publication status	Published - 1 Aug 2007
Externally published	Yes

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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. To cite this article: F. Ollivier, B. Sadik, C. R. Acad. Sci. Paris, Ser. I 345 (2007).",

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AB - 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. To cite this article: F. Ollivier, B. Sadik, C. R. Acad. Sci. Paris, Ser. I 345 (2007).

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

Abstract

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