Subvarieties in non-compact hyperkaehler manifolds
| dc.creator | Verbitsky, Misha | |
| dc.date | 2003-12-31 | |
| dc.date | 2004-01-01 | |
| dc.date.accessioned | 2026-07-07T05:04:18Z | |
| dc.date.available | 2026-07-07T05:04:18Z | |
| dc.description | Let M be a hyperkaehler manifold, not necessarily compact, and $S\cong CP^1$ the set of complex structures induced by the quaternionic action. Trianalytic subvariety of M is a subvariety which is complex analytic with respect to all $I \in CP^1$. We show that for all $I \in S$ outside of a countable set, all compact complex subvarieties $Z \subset (M,I)$ are trianalytic. For M compact, this result was proven in alg-geom/9403006 using Hodge theory. | |
| dc.description | 7 pages, a trivial error found and corrected | |
| dc.identifier | https://arxiv.org/abs/math/0312520 | |
| dc.identifier | http://arxiv.org/abs/math/0312520 | |
| dc.identifier | Math. Res. Lett. vol. 11 (2004), no. 4, pp. 413-418 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69751 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Differential Geometry | |
| dc.title | Subvarieties in non-compact hyperkaehler manifolds | |
| dc.type | text |