{
  "id": "math/0105102",
  "version": "v1",
  "published": "2001-05-11T19:33:28.000Z",
  "updated": "2001-05-11T19:33:28.000Z",
  "title": "A Hirzebruch proportionality principle in Arakelov geometry",
  "authors": [
    "Kai Koehler"
  ],
  "comment": "15 pages",
  "categories": [
    "math.AG",
    "math.DG"
  ],
  "abstract": "We show that a conjectural extension of a fixed point formula in Arakelov geometry implies results about a tautological subring in the arithmetic Chow ring of bases of abelian schemes. Among the results are an Arakelov version of the Hirzebruch proportionality principle and a formula for a critical power of $\\hat c_1$ of the Hodge bundle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-05-11T19:33:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G40",
      "58J52",
      "20G05",
      "20G10",
      "14M17"
    ],
    "keywords": [
      "hirzebruch proportionality principle",
      "arakelov geometry implies results",
      "abelian schemes",
      "fixed point formula",
      "arithmetic chow"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......5102K"
    }
  }
}