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Über Differentialoperatoren undD-Moduln in positiver Charakteristik

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Abstract

This paper is about differential operators andD-modules on a smooth variety over a field of positive characteristic. Beside some generalities the main results are theD-affinity of the projective space, theD-quasi-affinity of the ordinary flag manifolds (G/B) and theD-affinity of the ordinary flag manifold of Sl3. In contrast to characteristic 0 generally there exists some non-vanishing higher cohomology group of the associated graded algebra gr(D) on an ordinary flag manifold.

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  1. Mathematisches Seminar der Universität, Bundesstraße 55, D-2000, Hamburg 13, Bundesrepublik Deutschland

    Burkhard Haastert

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  1. Burkhard Haastert
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Haastert, B. Über Differentialoperatoren undD-Moduln in positiver Charakteristik. Manuscripta Math 58, 385–415 (1987). https://doi.org/10.1007/BF01277602

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