{
  "id": "1602.09032",
  "version": "v1",
  "published": "2016-02-29T16:31:33.000Z",
  "updated": "2016-02-29T16:31:33.000Z",
  "title": "A remark on Deligne's finiteness theorem",
  "authors": [
    "Hélène Esnault"
  ],
  "comment": "latex, 4 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "Over a connected geometrically unibranch scheme $X$ of finite type over a finite field, we show finiteness of the number of irreducible $\\bar \\Q_\\ell$-lisse sheaves, with bounded rank and bounded ramification in the sense of Drinfeld, up to twist by a character of the finite field. On $X$ smooth, with bounded ramification in the sense of bounding the Swan conductors on curves, this is Deligne's theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-29T16:31:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "delignes finiteness theorem",
      "finite field",
      "bounded ramification",
      "delignes theorem",
      "swan conductors"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160209032E"
    }
  }
}