On $(k,l)$-stable vector bundles over algebraic curves

Osbaldo Mata-Gutiérrez

On $(k,l)$-stable vector bundles over algebraic curves

Algebraic Geometry 2016-02-18 v2

Authors: Osbaldo Mata-Gutiérrez

Abstract

In this paper, we study the $(k,l)$ -stable vector bundles over non-singular projective curve $X$ of genus $g\geq 2,$ its relation with stability and Segre invariants. For rank 2 and 3, we give an explicit description and relation of $(k,l)$ -stability and Brill-Noether loci.

Keywords

moduli spaces of vector bundles brill-noether theory vector bundles

Cite

@article{arxiv.1202.1632,
  title  = {On $(k,l)$-stable vector bundles over algebraic curves},
  author = {Osbaldo Mata-Gutiérrez},
  journal= {arXiv preprint arXiv:1202.1632},
  year   = {2016}
}

Comments

This paper has been withdrawn. Developments of the results presented in this paper will be presented in other paper

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