Mathematics – Algebraic Geometry
Scientific paper
2003-09-17
Mathematics
Algebraic Geometry
11 pages
Scientific paper
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 $\deg(L) \geq 2g$ or when $L$ is generic. Finally we prove that for each $p$ in $\{2,..., \mathrm{rg}(E_{L})-2\}$, if $\deg(L) \geq 2g+2$ then $\Lambda^{p}E_{L}$ is not verifying $(R)$.
No associations
LandOfFree
Stabilité des fibrés $Λ^{p}E_{L}$ et condition de Raynaud does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Stabilité des fibrés $Λ^{p}E_{L}$ et condition de Raynaud, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stabilité des fibrés $Λ^{p}E_{L}$ et condition de Raynaud will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-137733