Non-algebraic Hyperkaehler manifolds
| dc.creator | Campana, Frederic | |
| dc.creator | Oguiso, Keiji | |
| dc.creator | Peternell, Thomas | |
| dc.date | 2008-04-10 | |
| dc.date.accessioned | 2026-07-07T09:31:33Z | |
| dc.date.available | 2026-07-07T09:31:33Z | |
| dc.description | We study the algebraic dimension a(X) of a compact hyperkaehler manfold of dimension 2n. We show that a(X) is at most n unless X is projective. If a compact Kaehler manifold with algebraic dimension 0 and Kodaira dimension 0 has a minimal model, then only the values 0,n and 2n are possible. In case of middle dimension, the algebraic reduction is holomorphic Lagrangian. If n = 2, then - without any assumptions - the algebraic dimension only takes the values 0,2 and 4. The paper gives structure results for "generalised hyperkaehler" manifolds and studies nef lines bundles. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/0804.1682 | |
| dc.identifier | http://arxiv.org/abs/0804.1682 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158499 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.subject | %3J27, 32J27, 14J99 | |
| dc.title | Non-algebraic Hyperkaehler manifolds | |
| dc.type | text |