Projective models of the twistor spaces of Joyce metrics
| dc.creator | Honda, Nobuhiro | |
| dc.date | 2008-05-01 | |
| dc.date.accessioned | 2026-07-07T09:36:22Z | |
| dc.date.available | 2026-07-07T09:36:22Z | |
| dc.description | We provide a simple algebraic construction of the twistor spaces of arbitrary Joyce's self-dual metrics on the 4-manifold H^2 x T^2 that extend smoothly to nCP^2, the connected sum of complex projective planes. Indeed, we explicitly realize projective models of the twistor spaces of arbitrary Joyce metrics on nCP^2 in a CP^4-bundle over CP^1, and show that they contain the twistor spaces of H^2 x T^2 as dense non-Zariski open subsets. In particular, we see that the last non-compact twistor spaces can be realized in rank-4 vector bundles over CP^1 by quite simple defining equations. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/0805.0046 | |
| dc.identifier | http://arxiv.org/abs/0805.0046 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160098 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 32L25; 53A30 | |
| dc.title | Projective models of the twistor spaces of Joyce metrics | |
| dc.type | text |