{
  "id": "1704.04779",
  "version": "v1",
  "published": "2017-04-16T13:59:25.000Z",
  "updated": "2017-04-16T13:59:25.000Z",
  "title": "Specialization of cycles and the K-theory elevator",
  "authors": [
    "Pedro Luis del Angel",
    "Charles Doran",
    "Jaya Iyer",
    "Matt Kerr",
    "James D. Lewis",
    "Stefan Mueller-Stach",
    "Deepam Patel"
  ],
  "comment": "45 pages, 1 figure",
  "categories": [
    "math.AG"
  ],
  "abstract": "A general specialization map is constructed for higher Chow groups and used to prove a \"going-up\" theorem for algebraic cycles and their regulators. The results are applied to study the degeneration of the modified diagonal cycle of Gross and Schoen, and of the coordinate symbol on a genus-2 curve.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-16T13:59:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C25",
      "19E15",
      "14C30"
    ],
    "keywords": [
      "k-theory elevator",
      "higher chow groups",
      "general specialization map",
      "algebraic cycles",
      "modified diagonal cycle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 45,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}