Curvature of vector bundles and subharmonicity of Bergman kernels
| dc.creator | Berndtsson, Bo | |
| dc.date | 2005-05-23 | |
| dc.date.accessioned | 2026-07-07T05:20:10Z | |
| dc.date.available | 2026-07-07T05:20:10Z | |
| dc.description | In a previous paper, \cite{Berndtsson}, we have studied a property of subharmonic dependence on a parameter of Bergman kernels for a family of weighted $L^2$-spaces of holomorphic functions. Here we prove a result on the curvature of a vector bundle defined by this family of $L^2$-spaces itself, which has the earlier results on Bergman kernels as a corollary. Applying the same arguments to spaces of holomorphic sections to line bundles over a locally trivial fibration we also prove that if a holomorphic vector bundle, $V$, over a complex manifold is ample in the sense of Hartshorne, then $V\gr\det V$ has an Hermitian metric with curvature strictly positive in the sense of Nakano. | |
| dc.identifier | https://arxiv.org/abs/math/0505470 | |
| dc.identifier | http://arxiv.org/abs/math/0505470 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75278 | |
| dc.subject | Complex Variables | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 32E | |
| dc.title | Curvature of vector bundles and subharmonicity of Bergman kernels | |
| dc.type | text |