{
  "id": "0910.1212",
  "version": "v1",
  "published": "2009-10-07T10:59:19.000Z",
  "updated": "2009-10-07T10:59:19.000Z",
  "title": "Formal groups, supersingular abelian varieties and tame ramification",
  "authors": [
    "Sara Arias-de-Reyna"
  ],
  "comment": "22 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let us consider an abelian variety defined over $\\mathbb{Q_{\\ell}}$ with good supersingular reduction. In this paper we give explicit conditions that ensure that the action of the wild inertia group on the $\\ell$-torsion points of the variety is trivial. Furthermore we give a family of curves of genus 2 such that their Jacobian surfaces have good supersingular reduction and satisfy these conditions. We address this question by means of a detailed study of the formal group law attached to abelian varieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-10-07T10:59:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14L05",
      "11G10",
      "11S15"
    ],
    "keywords": [
      "abelian variety",
      "supersingular abelian varieties",
      "tame ramification",
      "supersingular reduction",
      "wild inertia group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.1212A"
    }
  }
}