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

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

Abstract

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.

Translated title of the contribution	Une réponse négative au problème de noether différentiel
Original language	English
Pages (from-to)	99-104
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	328
Issue number	2
DOIs	https://doi.org/10.1016/s0764-4442(99)80145-1
Publication status	Published - 1 Jan 1999

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title = "A negative answer to the differential Noether's problem",

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AB - 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.

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A negative answer to the differential Noether's problem

Abstract

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