Irregularity of an analogue of the Gauss-Manin systems
| dc.creator | Roucairol, C. | |
| dc.date | 2005-05-04 | |
| dc.date.accessioned | 2026-07-07T05:19:38Z | |
| dc.date.available | 2026-07-07T05:19:38Z | |
| dc.description | In the D-modules theory, Gauss-Manin systems are defined by the direct image of the structure sheaf O by a morphism. A major theorem says that these systems have only regular singularities. This paper examines the irregularity of an analogue of the Gauss-Manin systems. It consists in the direct image complex of a D-module twisted by the exponential of a polynomial g by another polynomial f, where f and g are two polynomials in two variables. The analogue of the Gauss-Manin systems can have irregular singularities (at finite distance and at infinity). We express an invariant associated with the irregularity of these systems by the geometry of the map (f,g). | |
| dc.identifier | https://arxiv.org/abs/math/0505075 | |
| dc.identifier | http://arxiv.org/abs/math/0505075 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75089 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 32S40; 32C38 | |
| dc.title | Irregularity of an analogue of the Gauss-Manin systems | |
| dc.type | text |