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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,FE)=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.

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