{
  "id": "1204.1745",
  "version": "v1",
  "published": "2012-04-08T16:53:57.000Z",
  "updated": "2012-04-08T16:53:57.000Z",
  "title": "Counting points of fixed degree and bounded height",
  "authors": [
    "Martin Widmer"
  ],
  "journal": "Acta Arith. 140 (2009), 145-168",
  "doi": "10.4064/aa140-2-4",
  "categories": [
    "math.NT"
  ],
  "abstract": "We consider the set of points in projective $n$-space that generate an extension of degree $e$ over given number field $k$, and deduce an asymptotic formula for the number of such points of absolute height at most $X$, as $X$ tends to infinity. We deduce a similar such formula with instead of the absolute height, a so-called adelic-Lipschitz height.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-04-08T16:53:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R04",
      "11G50",
      "11G35"
    ],
    "keywords": [
      "fixed degree",
      "bounded height",
      "counting points",
      "absolute height",
      "number field"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Acta Arithmetica",
      "year": 2009,
      "volume": 140,
      "number": 2,
      "pages": 145
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009AcAri.140..145W"
    }
  }
}