A flatness property for filtered D-modules
| dc.creator | Castro-Jimenez, F. J. | |
| dc.creator | Granger, M. | |
| dc.date | 2005-05-23 | |
| dc.date.accessioned | 2026-07-07T05:20:09Z | |
| dc.date.available | 2026-07-07T05:20:09Z | |
| dc.description | Let M be a coherent module over the ring D of linear differential operators on an analytic manifold X and let us consider k germs of transverse hypersurfaces at a point x in X. The Malgrange-Kashiwara V-filtrations along these hypersurfaces, associated with a given presentation of the germ of M at the point x, give rise to a multifiltration U(M) of M_x introduced by Sabbah and to an analytic standard fan as developed by Assi-Castro-Granger. We prove here that this standard fan is adapted to the multifiltration, in the sense of C. Sabbah. This result completes the proof of the existence of an adapted fan in [9], for which the use of [8] is not possible (see References). | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0505465 | |
| dc.identifier | http://arxiv.org/abs/math/0505465 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75274 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 32C38 (Primary) 13C11, 14Q99, 13P99, 68W30 (Secondary) | |
| dc.title | A flatness property for filtered D-modules | |
| dc.type | text |