On semistable vector bundles over curves
Indranil Biswas, Georg Hein, Norbert Hoffmann
| Number | 26 |
|---|---|
| Authors |
Norbert Hoffmann
Georg Hein |
| Project | C10 |
| Year | 2008 |
Let X be a geometrically irreducible smooth projective curve defined over a field k, and let E be a semistable vector bundle on X. E is semistable if and only if there is a vector bundle F on X such that Hi(X,F⊗E)=0 for all i. We give an explicit bound for the rank of F, using a result of Popa for the case that k is algebraically closed.
