{
  "annotation_id": "d60f6a25-e2d3-4451-81d1-826697802ab0",
  "date_created": "2026-03-02T18:01:31.018000Z",
  "date_modified": "2026-03-02T18:01:31.018000Z",
  "file_hash": "b0fd705c6eee03ab12032194eeb9d249f1b8f227611e4490cbb88dd600745c4b",
  "private": false,
  "record": {
    "abstract": "Statistical models for genetic linkage analysis of k-locus diseases are\nk-dimensional subvarieties of a (3^k-1)-dimensional probability simplex. We\ndetermine the algebraic invariants of these models with general characteristics\nfor k=1, in particular we recover, and generalize, the Hardy-Weinberg curve.\nFor k = 2, the invariants are presented as determinants of 32x32-matrices of\nlinear forms in 9 unknowns, a suitable format for computations with numerical\ndata.",
    "arxiv_id": "q-bio/0405001",
    "authors": [
      "Ingileif B. Hallgrimsdottir",
      "Bernd Sturmfels"
    ],
    "categories": [
      "q-bio.QM",
      "math.ST",
      "stat.TH"
    ],
    "title": "Resultants in Genetic Linkage Analysis",
    "url": "https://arxiv.org/abs/q-bio/0405001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4c85b501-2bfe-47de-9f39-15b37c96cb9e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}