A negative answer to the differential Noether's problem

François Ollivier

doi:10.1016/s0764-4442(99)80145-1

A negative answer to the differential Noether's problem

Titre traduit de la contribution: Une réponse négative au problème de noether différentiel

François Ollivier

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

According to a theorem first stated by Clifford, Noether [8] and Rosanes [12], which later received a complete proof by Castelnuovo [2], the Cremona group of the plane is generated by de Jonquières transformations. J.F. Ritt [10] asked whether such a result could be generalized to the differential plane. We give a negative answer, relying on a flat system of Rouchon.

Titre traduit de la contribution	Une réponse négative au problème de noether différentiel
langue originale	Anglais
Pages (de - à)	99-104
Nombre de pages	6
journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	328
Numéro de publication	2
Les DOIs	https://doi.org/10.1016/s0764-4442(99)80145-1
état	Publié - 1 janv. 1999

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10.1016/s0764-4442(99)80145-1

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A negative answer to the differential Noether's problem

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