On the algebraic dimension of twistor spaces over the connected sum of four complex projective planes
| dc.creator | Kreussler, Bernd | |
| dc.date | 1996-07-04 | |
| dc.date.accessioned | 2026-07-07T09:06:52Z | |
| dc.date.available | 2026-07-07T09:06:52Z | |
| dc.description | We study the algebraic dimension of twistor spaces of positive type over $4\bbfP^2$. We show that such a twistor space is Moishezon if and only if its anticanonical class is not nef. More precisely, we show the equivalence of being Moishezon with the existence of a smooth rational curve having negative intersection number with the anticanonical class. Furthermore, we give precise information on the dimension and base locus of the fundamental linear system $|{-1/2}K|$. This implies, for example, $\dim|{-1/2}K|\leq a(Z)$. We characterize those twistor spaces over $4\bbfP^2$, which contain a pencil of divisors of degree one by the property $\dim|{-1/2}K| = 3$. | |
| dc.description | 23 pages LaTeX 2e | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9607007 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9607007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150168 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Differential Geometry | |
| dc.subject | 32L25 | |
| dc.title | On the algebraic dimension of twistor spaces over the connected sum of four complex projective planes | |
| dc.type | text |