{
  "id": "2405.19820",
  "version": "v1",
  "published": "2024-05-30T08:28:06.000Z",
  "updated": "2024-05-30T08:28:06.000Z",
  "title": "Spanning isogeny classes of principally polarized abelian surfaces with RM",
  "authors": [
    "Jean Kieffer"
  ],
  "comment": "8 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We describe how isogenies between principally polarized abelian surfaces (PPAS) with real multiplication (RM) can be decomposed into elementary isogeny types. This leads to a strategy for enumerating the isogeny class of a given PPAS with RM. This note is part of an ongoing work with R. van Bommel, S. Chidambaram, and E. Costa and is not indended for separate publication.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-30T08:28:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "principally polarized abelian surfaces",
      "spanning isogeny classes",
      "elementary isogeny types",
      "real multiplication",
      "van bommel"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}