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Differential operators on semi-invariants for tori and weighted projective spaces

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Topics in Invariant Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1478))

Abstract

In this paper we study rings of differential operators for modules of covariants for one-dimensional tori. In particular we analyze when they are Morita equivalent, when they are simple, and when they have finite global dimension. As a side result we obtain an extension of the Bernstein-Beilinson equivalence to weighted projective spaces.

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© 1991 Springer-Verlag

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Van den Bergh, M. (1991). Differential operators on semi-invariants for tori and weighted projective spaces. In: Topics in Invariant Theory. Lecture Notes in Mathematics, vol 1478. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083507

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  • DOI: https://doi.org/10.1007/BFb0083507

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54377-0

  • Online ISBN: 978-3-540-47592-7

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