{
  "id": "2105.15085",
  "version": "v1",
  "published": "2021-05-31T16:14:30.000Z",
  "updated": "2021-05-31T16:14:30.000Z",
  "title": "The Uniform Mordell-Lang Conjecture",
  "authors": [
    "Ziyang Gao",
    "Tangli Ge",
    "Lars Kühne"
  ],
  "comment": "Comments are welcome",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "In this paper, we prove the Uniform Mordell-Lang Conjecture for subvarieties in abelian varieties. As a byproduct, we prove the Uniform Bogomolov Conjecture for subvarieties in abelian varieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-05-31T16:14:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G10",
      "14G05",
      "14G25",
      "14K12"
    ],
    "keywords": [
      "uniform mordell-lang conjecture",
      "abelian varieties",
      "uniform bogomolov conjecture",
      "subvarieties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}