{
  "id": "2301.13222",
  "version": "v1",
  "published": "2023-01-30T19:00:06.000Z",
  "updated": "2023-01-30T19:00:06.000Z",
  "title": "Universal quadratic forms and indecomposables in number fields: A survey",
  "authors": [
    "Vítězslav Kala"
  ],
  "comment": "20 pages, comments are welcome",
  "categories": [
    "math.NT"
  ],
  "abstract": "We give an overview of universal quadratic forms and lattices, focusing on the recent developments over the rings of integers in totally real number fields. In particular, we discuss indecomposable algebraic integers as one of the main tools.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-30T19:00:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "universal quadratic forms",
      "totally real number fields",
      "main tools",
      "indecomposable algebraic integers",
      "developments"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}