A flatness property for filtered D-modules

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

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).
14 pages

Keywords

Algebraic Geometry, 32C38 (Primary) 13C11, 14Q99, 13P99, 68W30 (Secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/75274

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0505465
 http://arxiv.org/abs/math/0505465

Collections

arXiv