{
  "id": "2101.00197",
  "version": "v1",
  "published": "2021-01-01T08:50:31.000Z",
  "updated": "2021-01-01T08:50:31.000Z",
  "title": "Homotopy Spectra and Diophantine Equations",
  "authors": [
    "Yuri I. Manin",
    "Matilde Marcolli"
  ],
  "comment": "72 pages amstex",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "Arguably, the first bridge between vast, ancient, but disjoint domains of mathematical knowledge, - topology and number theory, - was built only during the last fifty years. This bridge is the theory of spectra in the stable homotopy theory. This connection poses the challenge: discover a new information in number theory using the developed independently machinery of homotopy theory. In this combined research/survey paper we suggest to apply homotopy spectra to the problem of distribution of rational points upon algebraic manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-01T08:50:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G50",
      "14G40",
      "55P43",
      "14E18"
    ],
    "keywords": [
      "diophantine equations",
      "number theory",
      "rational points",
      "apply homotopy spectra",
      "research/survey paper"
    ],
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 72,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}