{
  "id": "2204.03434",
  "version": "v1",
  "published": "2022-04-07T13:28:44.000Z",
  "updated": "2022-04-07T13:28:44.000Z",
  "title": "Motivic spectra and universality of $K$-theory",
  "authors": [
    "Toni Annala",
    "Ryomei Iwasa"
  ],
  "comment": "44 pages. Comments welcome!",
  "categories": [
    "math.AG",
    "math.AT",
    "math.KT"
  ],
  "abstract": "We develop a theory of motivic spectra in a broad generality; in particular $\\mathbb{A}^1$-homotopy invariance is not assumed. As an application, we prove that $K$-theory of schemes is a universal Zariski sheaf of spectra which is equipped with an action of the Picard stack and satisfies projective bundle formula.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-07T13:28:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "motivic spectra",
      "universality",
      "satisfies projective bundle formula",
      "universal zariski sheaf",
      "homotopy invariance"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 44,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}