{
  "id": "1002.1903",
  "version": "v4",
  "published": "2010-02-09T16:14:36.000Z",
  "updated": "2011-02-22T13:35:40.000Z",
  "title": "Concentration theorem and relative fixed point formula of Lefschetz type in Arakelov geometry",
  "authors": [
    "Shun Tang"
  ],
  "comment": "30 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper we prove a concentration theorem for arithmetic $K_0$-theory, this theorem can be viewed as an analog of R. Thomason's result in the arithmetic case. We will use this arithmetic concentration theorem to prove a relative fixed point formula of Lefschetz type in the context of Arakelov geometry. Such a formula was conjectured of a slightly stronger form by K. K\\\"{o}hler and D. Roessler and they also gave a correct route of its proof. Nevertheless our new proof is much simpler since it looks more natural and it doesn't involve too many complicated computations.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2011-02-22T13:35:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C40",
      "14G40",
      "14L30",
      "58J20",
      "58J52"
    ],
    "keywords": [
      "relative fixed point formula",
      "arakelov geometry",
      "lefschetz type",
      "arithmetic concentration theorem",
      "arithmetic case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.1903T"
    }
  }
}