Algebraic Gauss-Manin Systems and Brieskorn Modules
| dc.creator | Dimca, Alexandru | |
| dc.creator | Saito, Morihiko | |
| dc.date | 1999-06-18 | |
| dc.date | 1999-12-14 | |
| dc.date.accessioned | 2026-07-07T05:29:35Z | |
| dc.date.available | 2026-07-07T05:29:35Z | |
| dc.description | We study the algebraic Gauss-Manin system and the algebraic Brieskorn module associated to a polynomial mapping with isolated singularities. Since the algebraic Gauss-Manin system does not contain any information on the cohomology of singular fibers, we first construct a non quasi-coherent sheaf which gives the cohomology of every fiber. Then we study the algebraic Brieskorn module, and show that its position in the the algebraic Gauss-Manin system is determined by a natural map to quotients of local analytic Gauss-Manin systems, and its pole part by the vanishing cycles at infinity, comparing it with the Deligne extension. This implies for example a formula for the determinant of periods. In the two-dimensional case we can describe the global structure of the algebraic Gauss-Manin system rather explicitly. | |
| dc.description | AMSTeX, 20 pages, revised shorter version of RIMS-1218 with title changed | |
| dc.identifier | https://arxiv.org/abs/math/9906129 | |
| dc.identifier | http://arxiv.org/abs/math/9906129 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78690 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 32S40 | |
| dc.title | Algebraic Gauss-Manin Systems and Brieskorn Modules | |
| dc.type | text |