{
  "id": "1412.2925",
  "version": "v1",
  "published": "2014-12-09T11:43:31.000Z",
  "updated": "2014-12-09T11:43:31.000Z",
  "title": "Higher analytic torsion, polylogarithms and norm compatible elements on abelian schemes",
  "authors": [
    "Guido Kings",
    "Damian Rössler"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We give a simple axiomatic description of the degree 0 part of the polylogarithm on abelian schemes and show that its realisation in analytic Deligne cohomology can be described in terms of the Bismut-K\\\"ohler higher analytic torsion form of the Poincar\\'e bundle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-09T11:43:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G55",
      "14G40"
    ],
    "keywords": [
      "norm compatible elements",
      "abelian schemes",
      "polylogarithm",
      "higher analytic torsion form",
      "simple axiomatic description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.2925K"
    }
  }
}