{
  "id": "1002.4145",
  "version": "v1",
  "published": "2010-02-22T16:30:30.000Z",
  "updated": "2010-02-22T16:30:30.000Z",
  "title": "Bergman kernels and subadjunction",
  "authors": [
    "Bo Berndtsson",
    "Mihai P\\uaun"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "In this article our main result is a more complete version of the statements obtained in {\\rm [6]}. One of the important technical point of our proof is an $\\displaystyle L^{2\\over m}$ extension theorem of Ohsawa-Takegoshi type, which is derived from the original result by a simple fixed point method. Moreover, we show that these techniques combined with an appropriate form of the\"invariance of plurigenera\" can be used in order to obtain a new proof of the celebrated Y. Kawamata subadjunction theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-02-22T16:30:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bergman kernels",
      "kawamata subadjunction theorem",
      "simple fixed point method",
      "main result",
      "appropriate form"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.4145B"
    }
  }
}