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Operateurs differentiels sur les surfaces munies d'une bonne ℂ*-action

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Book cover Séminaire d’Algèbre Paul Dubreil et Marie-Paul Malliavin

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1404))

Abstract

Let \(R = \mathop \oplus \limits_{n \in \mathbb{N}}\)Rn be a finitely generated normal graded ℂ-algebra of dimension 2. One studies the ring D(R) of differential operators over R ; in particular one shows that, most of the time, D(R) is neither simple nor noetherian. This generalizes results by J. Bernstein - I.N. Gelfand - S.I. Gelfand and J.P. Vigué.

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Authors and Affiliations

  1. Département de Mathématiques et Informatique, Université de Bretagne Occidentale, 6 Av. V. Le Gorgeu, 29287, Brest Cedex, France

    Thierry Levasseur

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  1. Thierry Levasseur
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Marie-Paule Malliavin

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© 1989 Springer-Verlag

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Levasseur, T. (1989). Operateurs differentiels sur les surfaces munies d'une bonne ℂ*-action. In: Malliavin, MP. (eds) Séminaire d’Algèbre Paul Dubreil et Marie-Paul Malliavin. Lecture Notes in Mathematics, vol 1404. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084080

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  • DOI: https://doi.org/10.1007/BFb0084080

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51812-9

  • Online ISBN: 978-3-540-46814-1

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