{
  "id": "2003.05380",
  "version": "v1",
  "published": "2020-03-11T16:00:33.000Z",
  "updated": "2020-03-11T16:00:33.000Z",
  "title": "Isogeny Classes of Abelian Varieties over Finite Fields in the LMFDB",
  "authors": [
    "Taylor Dupuy",
    "Kiran Kedlaya",
    "David Roe",
    "Christelle Vincent"
  ],
  "comment": "64 pages, 13 figures, 20 tables",
  "categories": [
    "math.NT"
  ],
  "abstract": "This document is intended to summarize the theory and methods behind fq_isog collection inside the ab_var database in the LMFDB as well as some observations gleaned from these databases. This collection consists of tables of Weil q-polynomials, which by the Honda-Tate theorem are in bijection with isogeny classes of abelian varieties over finite fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-11T16:00:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G10",
      "14K15"
    ],
    "keywords": [
      "abelian varieties",
      "finite fields",
      "isogeny classes",
      "honda-tate theorem",
      "weil q-polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 64,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}