{
  "id": "1501.04421",
  "version": "v1",
  "published": "2015-01-19T08:50:08.000Z",
  "updated": "2015-01-19T08:50:08.000Z",
  "title": "Codimension one attracting sets in $\\mathbb{P}^k(\\mathbb{C})$",
  "authors": [
    "Sandrine Daurat",
    "Johan Taflin"
  ],
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "We are interested in attracting sets of $\\mathbb{P}^k(\\mathbb{C})$ which are of small topological degree and of codimension $1.$ We first show that there exists a large family of examples. Then we study their ergodic and pluripotential theoretic properties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-19T08:50:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "attracting sets",
      "codimension",
      "pluripotential theoretic properties",
      "small topological degree"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}