{
  "id": "1202.1632",
  "version": "v2",
  "published": "2012-02-08T09:13:44.000Z",
  "updated": "2016-02-17T01:29:43.000Z",
  "title": "On $(k,l)$-stable vector bundles over algebraic curves",
  "authors": [
    "Osbaldo Mata-Gutiérrez"
  ],
  "comment": "This paper has been withdrawn. Developments of the results presented in this paper will be presented in other paper",
  "categories": [
    "math.AG"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-08T09:13:44.000Z",
      "comment": "21 pages, 1 figure",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2016-02-17T01:29:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H60",
      "14J60",
      "14D20"
    ],
    "keywords": [
      "stable vector bundles",
      "algebraic curves",
      "segre invariants",
      "non-singular projective curve",
      "explicit description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.1632M"
    }
  }
}