Algebraic structures on hyperkaehler manifold
| dc.creator | Verbitsky, Misha | |
| dc.date | 1996-09-14 | |
| dc.date | 1996-10-10 | |
| dc.date.accessioned | 2026-07-07T09:01:46Z | |
| dc.date.available | 2026-07-07T09:01:46Z | |
| dc.description | Let $M$ be a compact hyperkaehler manifold. The hyperkaehler structure equips $M$ with a set $R$ of complex structures parametrized by $CP^1$, called "the set of induced complex structures". It was known previously that induced complex structures are non-algebraic, except may be a countable set. We prove that a countable set of induced complex structures is algebraic, and this set is dense in $R$. A more general version of this theorem was proven by Fujiki. | |
| dc.description | reference to Fujiki paper added in revision. LaTeX2e, 6 pages | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9609011 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9609011 | |
| dc.identifier | Math. Res. Lett. 3 763-767 1996 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148392 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Algebraic structures on hyperkaehler manifold | |
| dc.type | text |