Brieskorn modules and Gauss-Manin systems for non isolated hypersurface singularities
| dc.creator | Barlet, Daniel | |
| dc.creator | Saito, Morihiko | |
| dc.date | 2004-11-18 | |
| dc.date | 2006-07-05 | |
| dc.date.accessioned | 2026-07-07T06:39:01Z | |
| dc.date.available | 2026-07-07T06:39:01Z | |
| dc.description | We study the Brieskorn modules associated to a germ of holomorphic function with non-isolated singularities, and show that the Brieskorn module has naturally a structure of a module over the ring of microdifferential operators of nonpositive degree, and that the kernel of the morphism to the Gauss-Manin system coincides with the torsion part for the action of $t$ and also with that for the action of the inverse of the Gauss-Manin connection. This torsion part is not finitely generated in general, and we give a sufficient condition for the finiteness. We also prove a Thom-Sebastiani type theorem for the sheaf of Brieskorn modules in the case one of two functions has an isolated singularity. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0411406 | |
| dc.identifier | http://arxiv.org/abs/math/0411406 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100944 | |
| dc.subject | Complex Variables | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 32S40 | |
| dc.title | Brieskorn modules and Gauss-Manin systems for non isolated hypersurface singularities | |
| dc.type | text |