Semipositive bundles and Brill-Noether theory
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 gene...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2003 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/57717 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/57717 |
| Access Level: | acceso abierto |
| Palabra clave: | 512.7 5151.1 Ample bundle Lefschetz hyperplane theorem Determinantal locus Griffiths k-positive Brill-Noether loci Geometria algebraica Topología 1201.01 Geometría Algebraica 1210 Topología |
| Sumario: | 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. |
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