Stabilité des fibrés $Λ^{p}E_{L}$ et condition de Raynaud
| dc.creator | Schneider, Olivier | |
| dc.date | 2003-09-17 | |
| dc.date.accessioned | 2026-07-07T05:01:12Z | |
| dc.date.available | 2026-07-07T05:01:12Z | |
| dc.description | Let $C$ be a smooth curve of genus $g \geq 2$ on $\C$. Let $L$ be a line bundle on $C$ generated by its global sections and let $E_{L}$ be the dual of the kernel of the evaluation map $e_{L}$. We are studying here the relation between the stability the fact that the bundle is verifying a condition $(R)$ introduced by Raynaud : we prove that $E_{L}$ is semi stable when $C$ is general. We also prove that $E_{L}$ is verifying $(R)$ when $°(L) \geq 2g$ or when $L$ is generic. Finally we prove that for each $p$ in $\{2,..., \mathrm{rg}(E_{L})-2\}$, if $°(L) \geq 2g+2$ then $Λ^{p}E_{L}$ is not verifying $(R)$. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/0309277 | |
| dc.identifier | http://arxiv.org/abs/math/0309277 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68590 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Stabilité des fibrés $Λ^{p}E_{L}$ et condition de Raynaud | |
| dc.type | text |