Projective Normality Of Algebraic Curves And Its Application To Surfaces
| dc.creator | Kim, Seonja | |
| dc.creator | Kim, YoungRock | |
| dc.date | 2006-01-09 | |
| dc.date.accessioned | 2026-07-07T06:58:40Z | |
| dc.date.available | 2026-07-07T06:58:40Z | |
| dc.description | Let $L$ be a very ample line bundle on a smooth curve $C$ of genus $g$ with $\frac{3g+3}{2}<°L\le 2g-5$. Then $L$ is normally generated if $°L>\max\{2g+2-4h^1(C,L), 2g-\frac{g-1}{6}-2h^1(C,L)\}$. Let $C$ be a triple covering of genus $p$ curve $C'$ with $C\stackrelϕ\to C'$ and $D$ a divisor on $C'$ with $4p<°D< \frac{g-1}{6}-2p$. Then $K_C(-ϕ^*D)$ becomes a very ample line bundle which is normally generated. As an application, we characterize some smooth projective surfaces. | |
| dc.description | 7 pages, 1figure | |
| dc.identifier | https://arxiv.org/abs/math/0601189 | |
| dc.identifier | http://arxiv.org/abs/math/0601189 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107451 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H45, 14H10, 14C20, 14J10, 14J27, 14J28 | |
| dc.title | Projective Normality Of Algebraic Curves And Its Application To Surfaces | |
| dc.type | text |