{
  "id": "1405.3232",
  "version": "v1",
  "published": "2014-05-13T16:57:31.000Z",
  "updated": "2014-05-13T16:57:31.000Z",
  "title": "Towards a classification of symplectic automorphisms on manifolds of $K3^{[n]}$ type",
  "authors": [
    "Giovanni Mongardi"
  ],
  "comment": "contains part of PhD thesis 1303.4670",
  "categories": [
    "math.AG"
  ],
  "abstract": "The present paper is devoted to the classification of symplectic automorphisms of some hyperk\\\"{a}hler manifolds. The results contained here are an explicit classification of prime order automorphisms on manifolds of $K3^{[n]}$ type and a proof that all finite groups of symplectic automorphisms of such manifolds are contained in Conway's group $Co_1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-13T16:57:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J50"
    ],
    "keywords": [
      "symplectic automorphisms",
      "prime order automorphisms",
      "explicit classification",
      "finite groups"
    ],
    "tags": [
      "dissertation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1297114,
      "adsabs": "2014arXiv1405.3232M"
    }
  }
}