English

Semipositive bundles and Brill-Noether theory

Differential Geometry 2007-05-23 v2 Algebraic Geometry

Abstract

We prove a Lefschetz hyperplane theorem for the determinantal loci of a morphism between two holomorphic vector bundles EE and FF over a complex manifold under the condition that E\oxFE^*\ox F is Griffiths kk-positive. We apply this result to find some homotopy groups of the Brill-Noether loci for a generic curve.

Keywords

Cite

@article{arxiv.math/0107226,
  title  = {Semipositive bundles and Brill-Noether theory},
  author = {Vicente Munoz and Francisco Presas},
  journal= {arXiv preprint arXiv:math/0107226},
  year   = {2007}
}

Comments

(one small mistake corrected)