The dual Kaehler cone of compact Kaehler threefolds
| dc.creator | Oguiso, Keiji | |
| dc.creator | Peternell, Thomas | |
| dc.date | 2001-07-31 | |
| dc.date | 2004-06-11 | |
| dc.date.accessioned | 2026-07-07T04:42:48Z | |
| dc.date.available | 2026-07-07T04:42:48Z | |
| dc.description | We consider a compact Kaehler manifold whose dual Kaehler cone contains a rational interior point. The general problem we have in mind is how far the manifold is from being projective; i.e. we ask for the algebraic dimension. We prove e.g. that if the interior point is represented by an effective curve in dimension 3, then the manifold has algebraic dimension at least 2 unless the variety is a so-called simple non-Kummer 3-fold. We also investigate 3-folds containing curves with ample normal bundle. It seems likely that examples with algebraic dimension 2 really exist. | |
| dc.description | laTeX, 21 pages, final version, to appear in Communications in Analysis and Geometry | |
| dc.identifier | https://arxiv.org/abs/math/0107224 | |
| dc.identifier | http://arxiv.org/abs/math/0107224 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61937 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Complex Variables | |
| dc.title | The dual Kaehler cone of compact Kaehler threefolds | |
| dc.type | text |