Semipositive bundles and Brill-Noether theory

Vicente Munoz; Francisco Presas

Semipositive bundles and Brill-Noether theory

微分几何 2007-05-23 v2 代数几何

作者: Vicente Munoz , Francisco Presas

摘要

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.

关键词

brill-noether theory vector bundles and cohomology vector bundles

引用

@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}
}

备注

(one small mistake corrected)

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