{
  "id": "2009.09203",
  "version": "v1",
  "published": "2020-09-19T10:07:08.000Z",
  "updated": "2020-09-19T10:07:08.000Z",
  "title": "An equidistribution theorem for biraitonal maps of $\\mathbb{P}^k$",
  "authors": [
    "Taeyong Ahn"
  ],
  "comment": "Comments are very welcome!",
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "We prove an equidistribution theorem of positive closed currents for a certain class of birational maps $f_+:\\mathbb{P}^k\\to\\mathbb{P}^k$ of algebraic degree $d\\geq 2$ satisfying $\\bigcup_{n\\geq 0}f_-^n(I^+)\\cap \\bigcup_{n\\geq 0}f_+^n(I^-)=\\emptyset$, where $f_-$ is the inverse of $f_+$ and $I^\\pm$ are the sets of indeterminacy for $f_\\pm$, respectively.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-19T10:07:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "equidistribution theorem",
      "biraitonal maps",
      "birational maps",
      "algebraic degree"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}