{
  "id": "0711.2443",
  "version": "v1",
  "published": "2007-11-15T15:35:57.000Z",
  "updated": "2007-11-15T15:35:57.000Z",
  "title": "A note on polylogarithms on curves and abelian schemes",
  "authors": [
    "Guido Kings"
  ],
  "journal": "Math. Z., 262 (2009) 527-537",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "In this note we investigate the connection between polylogarithms on curves and abelian schemes. The main result shows that the polylogarithm on the abelian scheme can be obtained as the push-forward of the polylogarithm on a suitable sub-curve. If the abelian scheme is the Jacobian of a smooth projective curve, this push-forward can also be written as a cup-product with the fundamental class of the curve.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-11-15T15:35:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "abelian scheme",
      "polylogarithm",
      "main result",
      "smooth projective curve",
      "fundamental class"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0711.2443K"
    }
  }
}