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Muñoz, Vicente and Presas , Francisco (2003) Semipositive bundles and Brill-Noether theory. Bulletin of the London Mathematical Society, 35 (2). pp. 179-190. ISSN 0024-6093
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Official URL: http://journals.cambridge.org/abstract_S0024609302001741
Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Ample bundle; Lefschetz hyperplane theorem; Determinantal locus; Griffiths k-positive; Brill-Noether loci |
| Subjects: | Sciences > Mathematics > Algebraic geometry Sciences > Mathematics > Topology |
| ID Code: | 17152 |
| Deposited On: | 20 Nov 2012 12:48 |
| Last Modified: | 12 Dec 2018 15:13 |
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