Mathematics – Differential Geometry
Scientific paper
2001-07-31
Mathematics
Differential Geometry
(one small mistake corrected)
Scientific paper
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 $E^*\ox F$ is Griffiths $k$-positive. We
apply this result to find some homotopy groups of the Brill-Noether loci for a
generic curve.
Muñoz Vicente
Presas Francisco
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