{
  "id": "0907.1458",
  "version": "v2",
  "published": "2009-07-09T08:59:12.000Z",
  "updated": "2015-06-30T22:35:11.000Z",
  "title": "Theta height and Faltings height",
  "authors": [
    "F. Pazuki"
  ],
  "journal": "Bull. Soc. Math. Fr., 140.1, 2012, p. 19-49",
  "categories": [
    "math.NT"
  ],
  "abstract": "Using original ideas from J.-B. Bost and S. David, we provide an explicit comparison between the Theta height and the stable Faltings height of a principally polarized abelian variety. We also give as an application an explicit upper bound on the number of K-rational points of a curve of genus g>1 over a number filed K under a conjecture of S. Lang and J. Silverman. We complete the study with a comparison between differential lattice structures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-07-09T08:59:12.000Z",
      "comment": "24 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-06-30T22:35:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G50",
      "14G40",
      "14G05"
    ],
    "keywords": [
      "theta height",
      "explicit upper bound",
      "differential lattice structures",
      "stable faltings height",
      "principally polarized abelian variety"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.1458P"
    }
  }
}