The d-bar-equation on homogeneous varieties with an isolated singularity
| dc.creator | Ruppenthal, Jean | |
| dc.date | 2008-03-09 | |
| dc.date | 2009-03-23 | |
| dc.date.accessioned | 2026-07-07T12:54:37Z | |
| dc.date.available | 2026-07-07T12:54:37Z | |
| dc.description | Let X be a regular irreducible variety in CP^{n-1}, Y the associated homogeneous variety in C^n, and N the restriction of the universal bundle of CP^{n-1} to X. In the present paper, we compute the obstructions to solving the d-bar-equation in the L^p-sense on Y for 1<=p<=\infty in terms of cohomology groups H^q(X,O(N^m)). That allows to identify obstructions explicitly if X is specified more precisely, for example if it is equivalent to CP^1 or an elliptic curve. | |
| dc.description | 35 pages; extended introduction, new references | |
| dc.identifier | https://arxiv.org/abs/0803.1188 | |
| dc.identifier | http://arxiv.org/abs/0803.1188 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223996 | |
| dc.subject | Complex Variables | |
| dc.subject | 32C36; 32W05 | |
| dc.title | The d-bar-equation on homogeneous varieties with an isolated singularity | |
| dc.type | text |