{
  "id": "2003.05368",
  "version": "v1",
  "published": "2020-03-11T15:35:00.000Z",
  "updated": "2020-03-11T15:35:00.000Z",
  "title": "Counterexamples to a Conjecture of Ahmadi and Shparlinski",
  "authors": [
    "Taylor Dupuy",
    "Kiran Kedlaya",
    "David Roe",
    "Christelle Vincent"
  ],
  "comment": "6 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "Ahmadi-Shparlinski conjectured that every ordinary, geometrically simple Jacobian over a finite field has maximal angle rank. Using the L-Functions and Modular Forms Database, we provide two counterexamples to this conjecture in dimension 4.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-11T15:35:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G10",
      "14K15"
    ],
    "keywords": [
      "conjecture",
      "counterexamples",
      "maximal angle rank",
      "modular forms database",
      "geometrically simple jacobian"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}