{
  "id": "1109.6676",
  "version": "v1",
  "published": "2011-09-29T21:17:41.000Z",
  "updated": "2011-09-29T21:17:41.000Z",
  "title": "On uniform large Galois images for modular abelian varieties",
  "authors": [
    "Eknath Ghate",
    "Pierre Parent"
  ],
  "doi": "10.1112/blms/bds041",
  "categories": [
    "math.NT"
  ],
  "abstract": "We formulate a question regarding uniform versions of \"large Galois image properties\" for modular abelian varieties of higher dimension, generalizing the well-known case of elliptic curves. We then answer our question affirmatively in the exceptional image case, and provide lower estimates for uniform bounds in the remaining cases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-09-29T21:17:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F80",
      "11G10"
    ],
    "keywords": [
      "uniform large galois images",
      "modular abelian varieties",
      "large galois image properties",
      "exceptional image case",
      "question regarding uniform versions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.6676G"
    }
  }
}