{
  "id": "1409.5229",
  "version": "v1",
  "published": "2014-09-18T09:06:11.000Z",
  "updated": "2014-09-18T09:06:11.000Z",
  "title": "Berkovich skeleta and birational geometry",
  "authors": [
    "Johannes Nicaise"
  ],
  "comment": "These are expanded lecture notes of a talk at the Simons Symposium on Non-Archimedean Geometry and Tropical Geometry (March 31-April 6, 2013). They have been submitted to the conference proceedings",
  "categories": [
    "math.AG"
  ],
  "abstract": "We give a survey of joint work with Mircea Musta\\c{t}\\u{a} and Chenyang Xu on the connections between the geometry of Berkovich spaces over the field of Laurent series and the birational geometry of one-parameter degenerations of smooth projective varieties. The central objects in our theory are the weight function and the essential skeleton of the degeneration. We tried to keep the text self-contained, so that it can serve as an introduction to Berkovich geometry for birational geometers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-18T09:06:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "birational geometry",
      "berkovich skeleta",
      "berkovich geometry",
      "joint work",
      "one-parameter degenerations"
    ],
    "tags": [
      "conference paper",
      "lecture notes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.5229N"
    }
  }
}