{
  "id": "math/0501536",
  "version": "v1",
  "published": "2005-01-29T15:15:13.000Z",
  "updated": "2005-01-29T15:15:13.000Z",
  "title": "Uniqueness of tangent cones for calibrated 2-cycles",
  "authors": [
    "David Pumberger",
    "Tristan Riviere"
  ],
  "comment": "37 pages",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We prove that tangent cones to 2-dimensional calibrated cycles are unique. Using this result we prove a rate of convergence for the mass of the blow-up of a calibrated integral 2-cycle towards the limiting density. With the same techniques, we can also prove such a rate for J-holomorphic maps between almost complex manifolds and deduce the uniqueness of their tangent maps.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-01-29T15:15:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49Q15",
      "35J60",
      "53C38"
    ],
    "keywords": [
      "tangent cones",
      "uniqueness",
      "complex manifolds",
      "j-holomorphic maps",
      "tangent maps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......1536P"
    }
  }
}