{
  "id": "1908.03485",
  "version": "v1",
  "published": "2019-08-09T14:57:55.000Z",
  "updated": "2019-08-09T14:57:55.000Z",
  "title": "Heights and isogenies of Drinfeld modules",
  "authors": [
    "Florian Breuer",
    "Fabien Pazuki",
    "Mahefason Heriniaina Razafinjatovo"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We provide explicit bounds on the difference of heights of isogenous Drinfeld modules. We derive a finiteness result in isogeny classes. In the rank 2 case, we also obtain an explicit upper bound on the size of the coefficients of modular polynomials attached to Drinfeld modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-09T14:57:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G09",
      "11G50",
      "14G17",
      "14G40"
    ],
    "keywords": [
      "explicit upper bound",
      "modular polynomials",
      "isogenous drinfeld modules",
      "finiteness result",
      "isogeny classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}