{
  "id": "2309.00850",
  "version": "v1",
  "published": "2023-09-02T07:23:25.000Z",
  "updated": "2023-09-02T07:23:25.000Z",
  "title": "Invariant prime ideals in equivariant Lazard rings",
  "authors": [
    "Markus Hausmann",
    "Lennart Meier"
  ],
  "comment": "43 pages, comments welcome",
  "categories": [
    "math.AT",
    "math.AG"
  ],
  "abstract": "Let $A$ be an abelian compact Lie group. In this paper we compute the spectrum of invariant prime ideals of the $A$-equivariant Lazard ring, or equivalently the spectrum of points of the moduli stack of $A$-equivariant formal groups. We further show that this spectrum is homeomorphic to the Balmer spectrum of compact $A$-spectra, with the comparison map induced by equivariant complex bordism homology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-02T07:23:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55N22",
      "57R85",
      "14L05",
      "55P91"
    ],
    "keywords": [
      "invariant prime ideals",
      "equivariant lazard ring",
      "abelian compact lie group",
      "equivariant complex bordism homology",
      "equivariant formal groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 43,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}