manuscripta mathematica

, Volume 58, Issue 4, pp 385–415

Über Differentialoperatoren undD-Moduln in positiver Charakteristik

Authors

  • Burkhard Haastert
    • Mathematisches Seminar der Universität
Article

DOI: 10.1007/BF01277602

Cite this article as:
Haastert, B. Manuscripta Math (1987) 58: 385. doi:10.1007/BF01277602

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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© Springer-Verlag 1987