{
  "id": "0801.4508",
  "version": "v3",
  "published": "2008-01-29T15:01:14.000Z",
  "updated": "2008-06-25T14:35:35.000Z",
  "title": "Equidistribution over function fields",
  "authors": [
    "Walter Gubler"
  ],
  "comment": "23 pages; reference to X.W.C. Faber added who obtained some of the results independently. Minor errors corrected. To appear in manuscripta mathematica",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We prove equidistribution of a generic net of small points in a projective variety X over a function field K. For an algebraic dynamical system over K, we generalize this equidistribution theorem to a small generic net of subvarieties. For number fields, these results were proved by Yuan and we transfer here his methods to function fields. If X is a closed subvariety of an abelian variety, then we can describe the equidistribution measure explicitly in terms of convex geometry.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-06-25T14:35:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G40",
      "11G50"
    ],
    "keywords": [
      "function field",
      "small generic net",
      "small points",
      "convex geometry",
      "equidistribution measure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0801.4508G"
    }
  }
}