Oka's principle for holomorphic fiber bundles with sprays
| dc.creator | Forstneric, Franc | |
| dc.creator | Prezelj, Jasna | |
| dc.date | 2003-05-16 | |
| dc.date.accessioned | 2026-07-07T04:58:04Z | |
| dc.date.available | 2026-07-07T04:58:04Z | |
| dc.description | We give a proof of the following theorem of M. Gromov (Oka's principle for holomorphic sections of elliptic bundles, J. Amer. Math. Soc., 2 (1989), 851-897). Let Z be a holomorphic fiber bundle over a Stein manifold. If the fiber of Z admits a dominating holomorphic spray then the inclusion of the space of global holomorphic sections of Z into the space of continuous sections is a weak homotopy equivalence. In the classical case when the fiber is a complex Lie group or a homogeneous space this was proved by H. Grauert (Math. Ann., 135 (1958), 263--273). For further results in this direction see the papers math.CV/0101040, math.CV/0101040, math.CV/0101034, math.CV/0101238, math.CV/0107039, math.CV/0110201. | |
| dc.identifier | https://arxiv.org/abs/math/0305238 | |
| dc.identifier | http://arxiv.org/abs/math/0305238 | |
| dc.identifier | Math. Ann., 317 (2000), 117-154 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67487 | |
| dc.subject | Complex Variables | |
| dc.subject | 32H05, 32L05, 32Q28, 32Q55 | |
| dc.title | Oka's principle for holomorphic fiber bundles with sprays | |
| dc.type | text |