{
  "id": "math/0105098",
  "version": "v1",
  "published": "2001-05-11T19:03:31.000Z",
  "updated": "2001-05-11T19:03:31.000Z",
  "title": "A fixed point formula of Lefschetz type in Arakelov geometry II: a residue formula",
  "authors": [
    "Kai Koehler",
    "Damian Roessler"
  ],
  "comment": "20 pages",
  "doi": "10.1007/s002220100151",
  "categories": [
    "math.AG",
    "math.DG"
  ],
  "abstract": "This is the second of a series of papers dealing with an analog in Arakelov geometry of the holomorphic Lefschetz fixed point formula. We use the main result of the first paper to prove a residue formula \"`a la Bott\" for arithmetic characteristic classes living on arithmetic varieties acted upon by a diagonalisable torus; recent results of Bismut-Goette on the equivariant (Ray-Singer) analytic torsion play a key role in the proof.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-05-11T19:03:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G40",
      "58J52",
      "14C40",
      "14L30",
      "58J20",
      "14K15"
    ],
    "keywords": [
      "arakelov geometry",
      "residue formula",
      "lefschetz type",
      "holomorphic lefschetz fixed point formula",
      "arithmetic characteristic classes"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Inventiones Mathematicae",
      "year": 2001,
      "month": "Aug",
      "volume": 145,
      "number": 2,
      "pages": 333
    },
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001InMat.145..333K"
    }
  }
}