A negative answer to the δ-Lüroth problem in two variables

François Ollivier

doi:10.1016/S0764-4442(99)80037-8

A negative answer to the δ-Lüroth problem in two variables

Titre traduit de la contribution: Une réponse négative au problème de Lüroth différentiel en dimension 2

François Ollivier

UMS CNRS-Polytechnique no 658

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

5 Citations (Scopus)

Résumé

A simple example shows that the δ-Lüroth problem in two variables admits a negative answer: we exhibit a subextension of a differentially transcendental field extension of degree 2 of an algebraically closed differential field, which is not differentially transcendental.

Titre traduit de la contribution	Une réponse négative au problème de Lüroth différentiel en dimension 2
langue originale	Anglais
Pages (de - à)	881-886
Nombre de pages	6
journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	327
Numéro de publication	10
Les DOIs	https://doi.org/10.1016/S0764-4442(99)80037-8
état	Publié - 1 janv. 1998
Modification externe	Oui

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10.1016/S0764-4442(99)80037-8

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A negative answer to the δ-Lüroth problem in two variables

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