The Oka principle for multivalued sections of ramified mappings
| dc.creator | Forstneric, Franc | |
| dc.date | 2001-07-05 | |
| dc.date | 2001-11-12 | |
| dc.date.accessioned | 2026-07-07T04:42:29Z | |
| dc.date.available | 2026-07-07T04:42:29Z | |
| dc.description | In this paper we establish a basic version of the Oka principle for multivalued sections of ramified holomorphic maps h from a complex manifold Z onto a Stein manifold X. If the ramification locus of h projects into a closed complex subvariety X' of X and if h admits a fiber dominating spray over a small neighborhood of any point in X\X' then any multivalued continuous section of h which is holomorphic in a neighborhood of X' and unramified in X\X' can be homotopically deformed to a global holomorphic multivalued section. The corresponding results for sections of unramified submersions were established by Gromov (Oka's principle for holomorphic sections of elliptic bundles, J. Amer. Math. Soc. 2, 851-897 (1989)) and Forstneric and Prezelj (Math. Ann., to appear). | |
| dc.identifier | https://arxiv.org/abs/math/0107039 | |
| dc.identifier | http://arxiv.org/abs/math/0107039 | |
| dc.identifier | Forum Math., 15 (2003), 309--328 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61805 | |
| dc.subject | Complex Variables | |
| dc.subject | 32H02, 32L05, 32Q28, 32Q55 | |
| dc.title | The Oka principle for multivalued sections of ramified mappings | |
| dc.type | text |