Semipositive bundles and Brill-Noether theory

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
(one small mistake corrected)

Keywords

Differential Geometry, Algebraic Geometry, 32Q55; 14M12; 14H51

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/61938

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0107226
 http://arxiv.org/abs/math/0107226

Collections

arXiv