Global F-regularity of Schubert varieties with applications to D-modules
| dc.creator | Lauritzen, Niels | |
| dc.creator | Raben-Pedersen, Ulf | |
| dc.creator | Thomsen, Jesper Funch | |
| dc.date | 2004-02-04 | |
| dc.date | 2007-05-30 | |
| dc.date.accessioned | 2026-07-07T08:06:13Z | |
| dc.date.available | 2026-07-07T08:06:13Z | |
| dc.description | 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. | |
| dc.identifier | https://arxiv.org/abs/math/0402052 | |
| dc.identifier | http://arxiv.org/abs/math/0402052 | |
| dc.identifier | J. Amer. Math. Soc. 19 (2006), 345-355 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130532 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 32C38; 14B15 | |
| dc.title | Global F-regularity of Schubert varieties with applications to D-modules | |
| dc.type | text |