# 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.