{
  "id": "1310.4704",
  "version": "v2",
  "published": "2013-10-17T14:01:37.000Z",
  "updated": "2015-06-25T05:53:44.000Z",
  "title": "On a question of Mehta and Pauly",
  "authors": [
    "Holger Brenner",
    "Axel Stäbler"
  ],
  "comment": "3 pages; v1: Changes in exposition, added abstract in french, final version",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this short note we provide explicit examples in characteristic $p$ on certain smooth projective curves where for a given semistable vector bundle $\\mathcal{E}$ the length of the Harder-Narasimhan filtration of $F^\\ast \\mathcal{E}$ is longer than $p$. This answers a question of Mehta and Pauly raised in arXiv:math/0607565.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-17T14:01:37.000Z",
      "comment": "3 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-06-25T05:53:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H60"
    ],
    "keywords": [
      "short note",
      "explicit examples",
      "smooth projective curves",
      "semistable vector bundle",
      "harder-narasimhan filtration"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "fr",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.4704B"
    }
  }
}