On Clifford's theorem for rank-3 bundles
| dc.creator | Lange, H. | |
| dc.creator | Newstead, P. E. | |
| dc.date | 2003-10-29 | |
| dc.date.accessioned | 2026-07-07T05:02:20Z | |
| dc.date.available | 2026-07-07T05:02:20Z | |
| dc.description | In this paper we obtain bounds on $h^0(E)$ where $E$ is a semistable bundle of rank 3 over a smooth irreducible projective curve $X$ of genus $g \geq 2$ defined over an algebraically closed field of characteristic 0. These bounds are expressed in terms of the degrees of stability $s_1(E), s_2(E)$. We show also that in some cases the bounds are best possible. These results extend recent work of J. Cilleruelo and I. Sols for bundles of rank 2. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0310463 | |
| dc.identifier | http://arxiv.org/abs/math/0310463 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69019 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H60;14F05;32L10 | |
| dc.title | On Clifford's theorem for rank-3 bundles | |
| dc.type | text |