Ample Line Bundles on Blown Up Surfaces
| dc.creator | Küchle, Oliver | |
| dc.date | 1994-10-12 | |
| dc.date.accessioned | 2026-07-07T09:06:13Z | |
| dc.date.available | 2026-07-07T09:06:13Z | |
| dc.description | Given a smooth complex projective surface $S$ and an ample divisor $H$ on $S$, consider the blow up of $S$ along $k$ points in general position. Let $H'$ be the pullback of $H$ and $E_1,..., E_k$ be the exceptional divisors. We show that $L = nH' -E_1 - ... -E_k$ is ample if and only if $L^2$ is positive provided the integer $n$ is at least 3. | |
| dc.description | 4 pages, AMS-TeX 2.1 | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9410011 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9410011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149932 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Ample Line Bundles on Blown Up Surfaces | |
| dc.type | text |