{
  "id": "math/0305288",
  "version": "v7",
  "published": "2003-05-20T14:01:44.000Z",
  "updated": "2008-01-30T02:09:40.000Z",
  "title": "Differential equations associated to Families of Algebraic Cycles",
  "authors": [
    "Pedro Luis del Angel",
    "Stefan Müller-Stach"
  ],
  "comment": "8 pages. Final version. To be published in Annales de l'Institute Fourier",
  "categories": [
    "math.AG",
    "math.DS",
    "math.KT"
  ],
  "abstract": "We develop a theory of differential equations associated to families of algebraic cycles in higher Chow groups (i.e., motivic cohomology groups). This formalism is related to inhomogeneous Picard--Fuchs type differential equations. For families of K3 surfaces the corresponding non-linear ODE turns out to be symilar to Chazy's equation.",
  "revisions": [
    {
      "version": "v7",
      "updated": "2008-01-30T02:09:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C25",
      "19E20"
    ],
    "keywords": [
      "algebraic cycles",
      "inhomogeneous picard-fuchs type differential equations",
      "higher chow groups",
      "motivic cohomology groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......5288D"
    }
  }
}