%0 Journal Article %A Muñoz, Vicente %A Presas , Francisco %T Semipositive bundles and Brill-Noether theory %D 2003 %@ 0024-6093 %U https://hdl.handle.net/20.500.14352/57717 %X A Lefschetz hyperplane theorem for the determinantal loci of a morphism, between two holomorphic vector bundles E and F over a complex manifold is proved, under the condition that E* x F is Griffiths k-positive. This result is applied to find some homotopy groups of the Brill-Noether loci for a generic curve. %~