On meromorphic functions defined by a differential system of order 1, II
| dc.creator | Torrelli, Tristan | |
| dc.date | 2006-05-31 | |
| dc.date.accessioned | 2026-07-07T07:14:41Z | |
| dc.date.available | 2026-07-07T07:14:41Z | |
| dc.description | Given a nonzero germ h of holomorphic function on (C^n,0), we study the condition: ``the ideal Ann\_D 1/h is generated by operators of order 1''. When h defines a generic arrangement of hypersurfaces with an isolated singularity, we show that it is verified if and only if h is weighted homogeneous and -1 is the only integral root of its Bernstein-Sato polynomial. When h is a product, we give a process to test this last condition. Finally, we study some other related conditions. | |
| dc.description | 28 pages, 1 diagram | |
| dc.identifier | https://arxiv.org/abs/math/0605787 | |
| dc.identifier | http://arxiv.org/abs/math/0605787 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112975 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 32C38, 32C38,32S25, 14F10, 14F40 | |
| dc.title | On meromorphic functions defined by a differential system of order 1, II | |
| dc.type | text |