Constant scalar curvature Kahler metrics on fibred complex surfaces
| dc.creator | Fine, Joel | |
| dc.date | 2004-01-21 | |
| dc.date | 2004-03-05 | |
| dc.date.accessioned | 2026-07-07T06:26:40Z | |
| dc.date.available | 2026-07-07T06:26:40Z | |
| dc.description | This article finds constant scalar curvature Kahler metrics on certain compact complex surfaces. The surfaces considered are those admitting a holomorphic submersion to a curve, with fibres of genus at least 2. The proof is via an adiabatic limit. An approximate solution is constructed out of the hyperbolic metrics on the fibres and a large multiple of a certain metric on the base. A parameter-dependent inverse function theorem is then used to perturb the approximate solution to a genuine solution in the same cohomology class. The arguments also apply to certain higher dimensional fibred Kahler manifolds. | |
| dc.description | 32 pages, no figures (with minor corrections and a larger font for tired eyes) | |
| dc.identifier | https://arxiv.org/abs/math/0401275 | |
| dc.identifier | http://arxiv.org/abs/math/0401275 | |
| dc.identifier | Journal of Differential Geometry, 2004, 68(3), 397--432. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97176 | |
| dc.subject | Differential Geometry | |
| dc.title | Constant scalar curvature Kahler metrics on fibred complex surfaces | |
| dc.type | text |