{
  "id": "2008.10657",
  "version": "v1",
  "published": "2020-08-24T18:59:19.000Z",
  "updated": "2020-08-24T18:59:19.000Z",
  "title": "Introduction to Anderson t-motives: a survey",
  "authors": [
    "A. Grishkov",
    "D. Logachev"
  ],
  "comment": "30 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "This is a survey on Anderson t-motives -- the functional field analogs of abelian varieties with multiplication by an imaginary quadratic field. We define their lattices, the group $H^1$, their tensor products and the duality functor. Some examples of explicit calculations are given, some elementary research problems are stated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-24T18:59:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G09"
    ],
    "keywords": [
      "anderson t-motives",
      "introduction",
      "functional field analogs",
      "elementary research problems",
      "imaginary quadratic field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}