Périodes évanescentes et $(a,b)$-modules monogènes
| dc.creator | Barlet, Daniel | |
| dc.date | 2009-01-14 | |
| dc.date.accessioned | 2026-07-07T12:29:29Z | |
| dc.date.available | 2026-07-07T12:29:29Z | |
| dc.description | In order to describe the asymptotic behaviour of a vanishing period in a one parameter family we introduce and use a very simple algebraic structure : regular geometric (a,b)-modules generated (as left $\A-$modules) by one element. The idea is to use not the full Brieskorn module associated to the Gauss-Manin connection but a minimal (regular) differential equation satisfied by the period integral we are interested in. We show that the Bernstein polynomial associated is quite simple to compute for such (a,b)-modules and give a precise description of the exponents which appears in the asymptotic expansion which avoids integral shifts. We show a couple of explicit computations in some classical (but not so easy) examples. | |
| dc.identifier | https://arxiv.org/abs/0901.1953 | |
| dc.identifier | http://arxiv.org/abs/0901.1953 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/215892 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 32S25, 32S40, 32S50 | |
| dc.title | Périodes évanescentes et $(a,b)$-modules monogènes | |
| dc.type | text |