Semipositive bundles and Brill-Noether theory

الأصل · EN

We prove a Lefschetz hyperplane theorem for the determinantal loci of a morphism between two holomorphic vector bundles E and F over a complex manifold under the condition that E* F is Griffiths k-positive. We apply this result to find some homotopy groups of the Brill-Noether loci for a generic curve.