A d-bar-theoretical proof of Hartogs' extension theorem on (n-1)-complete spaces
| dc.creator | Ruppenthal, Jean | |
| dc.date | 2008-11-12 | |
| dc.date | 2009-01-16 | |
| dc.date.accessioned | 2026-07-07T12:30:29Z | |
| dc.date.available | 2026-07-07T12:30:29Z | |
| dc.description | Let X be a connected normal complex space of dimension n>=2 which is (n-1)-complete, and let p: M -> X be a resolution of singularities. By use of Takegoshi's generalization of the Grauert-Riemenschneider vanishing theorem, we deduce H^1_{cpt}(M,O)=0, which in turn implies Hartogs' extension theorem on X by the d-bar-technique of Ehrenpreis. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/0811.1963 | |
| dc.identifier | http://arxiv.org/abs/0811.1963 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/216142 | |
| dc.subject | Complex Variables | |
| dc.subject | 32F10; 32C20; 32C35 | |
| dc.title | A d-bar-theoretical proof of Hartogs' extension theorem on (n-1)-complete spaces | |
| dc.type | text |