An existence theorem for tempered solutions of D-modules on complex curves
| dc.creator | Morando, Giovanni | |
| dc.date | 2006-05-18 | |
| dc.date.accessioned | 2026-07-07T09:30:11Z | |
| dc.date.available | 2026-07-07T09:30:11Z | |
| dc.description | Let X be a complex curve, $X_{sa}$ the subanalytic site associated to X, M a holonomic $D_X$-module. Let $O^t$ be the sheaf on $X_{sa}$ of tempered holomorphic functions, Sol(M) (resp. $Sol^t$(M)) the complex of holomorphic (resp. tempered holomorphic) solutions of M. We prove that the natural morphism from $H^1 Sol^t$(M) to $H^1$Sol(M) is an isomorphism of sheaves on $X_{sa}$. As a consequence, we prove that $Sol^t$(M) is R-constructible in the sense of sheaves on $X_{sa}$. Such a result is conjectured by M. Kashiwara and P. Schapira in Astérisque 284 in any dimension. | |
| dc.description | 36 pages | |
| dc.identifier | https://arxiv.org/abs/math/0605507 | |
| dc.identifier | http://arxiv.org/abs/math/0605507 | |
| dc.identifier | Publ. Res. Inst. Math. Sci., vol. 43, n.3, 625--659, 2007. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158046 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Complex Variables | |
| dc.subject | 32S40; 34M35; 32B20; 58J15 | |
| dc.title | An existence theorem for tempered solutions of D-modules on complex curves | |
| dc.type | text |