Twistor lines on Nagata threefold
| dc.creator | Honda, Nobuhiro | |
| dc.date | 2006-08-18 | |
| dc.date | 2007-10-04 | |
| dc.date.accessioned | 2026-07-07T08:34:01Z | |
| dc.date.available | 2026-07-07T08:34:01Z | |
| dc.description | We give an explicit description of rational curves in the product of three copies of complex projective lines, which are transformed into twistor lines in M. Nagata's example of non-projective complete algebraic variety, viewed as the twistor space of Eguchi-Hanson metric. In particular, we show that there exist two families of such curves and both of them are parameterized by mutually diffeomorphic, connected real 4-dimensional manifolds. We also give a relationship between these two families through a birational transformation naturally associated to the Nagata's example. | |
| dc.description | V2: 10 pages, 1 figure; a figure explaining key fact added, comments on automorphism group added. Accepted for publication in J. Math. Kyoto Univ | |
| dc.identifier | https://arxiv.org/abs/math/0608455 | |
| dc.identifier | http://arxiv.org/abs/math/0608455 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139291 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.title | Twistor lines on Nagata threefold | |
| dc.type | text |