{
  "id": "1601.00590",
  "version": "v1",
  "published": "2016-01-04T17:57:18.000Z",
  "updated": "2016-01-04T17:57:18.000Z",
  "title": "Spinors and essential dimension",
  "authors": [
    "Skip Garibaldi",
    "Robert M. Guralnick"
  ],
  "categories": [
    "math.GR",
    "math.RT"
  ],
  "abstract": "We prove that spin groups act generically freely on various spinor modules, in the sense of group schemes and in a way that does not depend on the characteristic of the base field. As a consequence, we extend the surprising calculation of the essential dimension of spin groups and half-spin groups in characteristic zero by Brosnan--Reichstein--Vistoli (Annals of Math., 2010) and Chernousov--Merkurjev (Algebra & Number Theory, 2014) to fields of characteristic different from 2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-04T17:57:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11E72",
      "11E88",
      "20G10"
    ],
    "keywords": [
      "essential dimension",
      "spin groups act",
      "spinor modules",
      "number theory",
      "characteristic zero"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160100590G"
    }
  }
}