A splitting theorem for holomorphic Banach bundles
| dc.creator | Kim, Jaehong | |
| dc.date | 2008-05-14 | |
| dc.date.accessioned | 2026-07-07T09:38:45Z | |
| dc.date.available | 2026-07-07T09:38:45Z | |
| dc.description | This paper is motivated by Grothendieck's splitting theorem. In the 1960s, Gohberg generalized this to a class of Banach bundles. We consider a compact complex manifold $X$ and a holomorphic Banach bundle $E \to X$ that is a compact perturbation of a trivial bundle in a sense recently introduced by Lempert. We prove that $E$ splits into the sum of a finite rank bundle and a trivial bundle, provided $H^{1}(X, Ø)=0$. | |
| dc.identifier | https://arxiv.org/abs/0805.1953 | |
| dc.identifier | http://arxiv.org/abs/0805.1953 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160925 | |
| dc.subject | Complex Variables | |
| dc.subject | 32L05, 32L10, 58B15 | |
| dc.title | A splitting theorem for holomorphic Banach bundles | |
| dc.type | text |