Global F-regularity of Schubert varieties with applications to D-modules

Details Global F-regularity of Schubert varieties with applications to D-modules Global F-regularity of Schubert varieties with applications to D-modules

2004-02-04

arxiv.org/abs/math/0402052v3

J. Amer. Math. Soc. 19 (2006), 345-355

Mathematics

Algebraic Geometry

Scientific paper

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 in positive characteristic. Here recent results of Blickle are shown to imply that the simple D-modules coincide with local cohomology sheaves with support in Schubert varieties. Using a local Grothendieck-Cousin complex we prove that the decomposition of local cohomology sheaves with support in Schubert cells is multiplicity free.

Affiliated with

Also associated with

No associations

Rating

Global F-regularity of Schubert varieties with applications to D-modules does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Global F-regularity of Schubert varieties with applications to D-modules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Global F-regularity of Schubert varieties with applications to D-modules will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-565444