{
  "id": "1602.07187",
  "version": "v1",
  "published": "2016-02-23T15:16:51.000Z",
  "updated": "2016-02-23T15:16:51.000Z",
  "title": "Essential dimension of group schemes over a local scheme",
  "authors": [
    "Tossici Dajano"
  ],
  "comment": "27 pages",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "In this paper we develop the theory of essential dimension of group schemes over an integral base. Shortly we concentrate over a local base. As a consequence of our theory we give a result of invariance of the essential dimension over a field. The case of group schemes over a discrete valuation ring is discussed. Moreover we propose a generalization of Ledet conjecture, which predicts the essential dimension of cyclic $p$-groups in positive characteristic, for finite commutative unipotent group schemes. And we show some results and some consequences of this new conjecture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-23T15:16:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14L15",
      "14L30"
    ],
    "keywords": [
      "essential dimension",
      "local scheme",
      "finite commutative unipotent group schemes",
      "integral base",
      "discrete valuation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160207187D"
    }
  }
}