{
  "id": "math/0502222",
  "version": "v3",
  "published": "2005-02-10T21:58:39.000Z",
  "updated": "2005-05-09T03:33:56.000Z",
  "title": "Surjectivity of $p$-adic regulator on $K_2$ of Tate curves",
  "authors": [
    "Masanori Asakura"
  ],
  "doi": "10.1007/s00222-005-0494-4",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "I prove the surjectivity of the $p$-adic regulator from Quillen's $K_2$ of Tate curve to the $p$-adic etale cohomology group when the base field is contained in a cyclotomic extension of $Q_p$. This implies the finiteness of torsion part of $K_1$ of Tate curves thanks to Suslin's exact sequence.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2005-05-09T03:33:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "19F27"
    ],
    "keywords": [
      "adic regulator",
      "surjectivity",
      "adic etale cohomology group",
      "suslins exact sequence",
      "tate curves thanks"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Inventiones Mathematicae",
      "year": 2006,
      "month": "Feb",
      "volume": 165,
      "number": 2,
      "pages": 267
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006InMat.165..267A"
    }
  }
}