2018-12-102018-12-102008Hoffmann, N. et al. (2008) 'On semistable vector bundles over curves.' C. R. Acad. Sci. Paris 346, pp. 981-984. ISSN: 1631-073Xhttp://hdl.handle.net/10395/2531On semistable vector bundles over curves.Let X be a geometrically irreducible smooth projective curve de ned over a eld k, and let E be a vector bundle on X. Then E is semistable if and only if there is a vector bundle F on X such that Hi(X; F E) = 0 for i = 0; 1. We give an explicit bound for the rank of F. The proof uses a result of Popa for the case that k is algebraically closed.enghttps://doi.org/10.1016/j.crma.2008.07.016SemistableVector bundlesCurvesArticle10.1016/j.crma.2008.07.016