Extending holomorphic mappings from subvarieties in Stein manifolds
| dc.creator | Forstneric, Franc | |
| dc.date | 2004-11-02 | |
| dc.date | 2005-02-23 | |
| dc.date.accessioned | 2026-07-07T05:13:53Z | |
| dc.date.available | 2026-07-07T05:13:53Z | |
| dc.description | Suppose that Y is a complex manifold with the property that any holomorphic map from a compact convex set in a complex Euclidean space C^n (for any n) to Y is a uniform limit of entire maps from C^n to Y. We prove that a holomorphic map from a closed complex subvariety X_0 in a Stein manifold X to the manifold Y extends to a holomorphic map of X to Y provided that it extends to a continuous map. We then establish the equivalence of four Oka-type properties of a complex manifold. We also generalize a theorem of Siu and Demailly on the existence of open Stein neighborhoods of Stein subvarieties in complex spaces. | |
| dc.description | Ann. Inst. Fourier, to appear | |
| dc.identifier | https://arxiv.org/abs/math/0411048 | |
| dc.identifier | http://arxiv.org/abs/math/0411048 | |
| dc.identifier | Ann. Inst. Fourier, Grenoble, 55, 3 (2005), 733-751 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73079 | |
| dc.subject | Complex Variables | |
| dc.subject | 32E10, 32E30, 32H02 | |
| dc.title | Extending holomorphic mappings from subvarieties in Stein manifolds | |
| dc.type | text |