The D-Module structure of R[F]-modules
| dc.creator | Blickle, Manuel | |
| dc.date | 2002-01-19 | |
| dc.date | 2003-06-06 | |
| dc.date.accessioned | 2026-07-07T04:45:58Z | |
| dc.date.available | 2026-07-07T04:45:58Z | |
| dc.description | Let R be a regular ring essentially of finite type over a perfect field k. An R-module M is called a unit R[F]-module if it comes equipped with an isomorphism F*M-->M where F denotes the Frobenius map on Spec R, and F* is the associated pullback functor. It is well known that M then carries a natural D-module structure. In this paper we investigate the relation between the unit R[F]-structure and the induced D-structure on M. In particular, it is shown that, if k is algebraically closed and M is a simple finitely generated unit R[F]-module, then it is also simple as a D-module. An example showing the necessity of k being algebraically closed is also given. | |
| dc.description | 25 pages. Some minor changes following referee's suggestion. To appear in Trans. AMS | |
| dc.identifier | https://arxiv.org/abs/math/0201180 | |
| dc.identifier | http://arxiv.org/abs/math/0201180 | |
| dc.identifier | Trans. Am. Math. Soc 355 (2003), 4, 1647-1668 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63154 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13A35; 16S99 | |
| dc.title | The D-Module structure of R[F]-modules | |
| dc.type | text |