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math.AG2004
Global F-regularity of Schubert varieties with applications to D-modules
Niels Lauritzen, Ulf Raben-Pedersen, Jesper Funch Thomsen
We prove that Schubert varieties are globally F-regular in the sense of Karen Smith. We apply this result to the category of equivariant and holonomic D-modules on flag varieties i…
math.AG2002
Local cohomology and D-affinity in positive characteristic
Masaki Kashiwara, Niels Lauritzen
Comparing vanishing of local cohomology in zero and positive characteristic, we give an example of a D-module on a Grassmann variety in positive characteristic with non-vanishing f…