{
  "id": "1011.2991",
  "version": "v2",
  "published": "2010-11-12T17:17:04.000Z",
  "updated": "2010-12-14T14:21:05.000Z",
  "title": "Parity conjectures for elliptic curves over global fields of positive characteristic",
  "authors": [
    "Fabien Trihan",
    "Christian Wuthrich"
  ],
  "comment": "to be published in Compositio Mathematica. This version differs slightly from the one to be published",
  "doi": "10.1112/S0010437X1100532X",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove the $p$-parity conjecture for elliptic curves over global fields of characteristic $p > 3$. We also present partial results on the $\\ell$-parity conjecture for primes $\\ell \\neq p$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-12-14T14:21:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G05",
      "11G40",
      "11G07"
    ],
    "keywords": [
      "parity conjecture",
      "elliptic curves",
      "global fields",
      "positive characteristic"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.2991T"
    }
  }
}