Muñoz, VicentePresas , Francisco2023-06-202023-06-2020030024-609310.1112/S0024609302001741https://hdl.handle.net/20.500.14352/57717A 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.engjournal articlehttp://journals.cambridge.org/abstract_S0024609302001741http:www.cambridge.orgopen access512.75151.1Ample bundleLefschetz hyperplane theoremDeterminantal locusGriffiths k-positiveBrill-Noether lociGeometria algebraicaTopología1201.01 Geometría Algebraica1210 Topología