An explicit d-bar-integration formula for weighted homogeneous varieties
| dc.creator | Ruppenthal, Jean | |
| dc.creator | Zeron, Eduardo S. | |
| dc.date | 2008-03-02 | |
| dc.date.accessioned | 2026-07-07T09:24:19Z | |
| dc.date.available | 2026-07-07T09:24:19Z | |
| dc.description | Let Y be a weighted homogeneous (singular) subvariety of C^n. The main objective of this paper is to present an explicit formula for solving the d-bar-equation $f=\dbar{g}$ on the regular part of Y, where $f$ is a d-bar-closed $(0,1)$-form with compact support. This formula will then be used to give Hölder estimates for the solution in case $Y$ is homogeneous (a cone) with an isolated singularity. Finally, a slight modification of our formula also gives an $L^2$-bounded solution operator in case Y is pure dimensional and homogeneous. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/0803.0136 | |
| dc.identifier | http://arxiv.org/abs/0803.0136 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156053 | |
| dc.subject | Complex Variables | |
| dc.subject | 32F20; 32W05; 35N15 | |
| dc.title | An explicit d-bar-integration formula for weighted homogeneous varieties | |
| dc.type | text |