{
  "id": "math/9806117",
  "version": "v3",
  "published": "1998-06-22T02:21:15.000Z",
  "updated": "2003-02-12T09:49:53.000Z",
  "title": "One-motives and a conjecture of Deligne",
  "authors": [
    "Niranjan Ramachandran"
  ],
  "comment": "43 pages, latex file, uses amsart, amscd packages (Major revisions; final version). Journal of Algebraic Geometry (to appear)",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "We introduce new motivic invariants of arbitrary varieties over a perfect field. These cohomological invariants take values in the category of one-motives (considered up to isogeny in positive characteristic). The algebraic definition of these invariants presented here proves a conjecture of Deligne. Applications include some cases of conjectures of Serre, Katz and Jannsen on the independence of $\\ell$ of parts of the \\'etale cohomology of arbitrary varieties over number fields and finite fields.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2003-02-12T09:49:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11Gxx",
      "14C25",
      "14C30",
      "14F99"
    ],
    "keywords": [
      "conjecture",
      "one-motives",
      "arbitrary varieties",
      "number fields",
      "etale cohomology"
    ],
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 43,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......6117R"
    }
  }
}