Über Differentialoperatoren undD-Moduln in positiver Charakteristik

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.