{
  "id": "0906.3836",
  "version": "v2",
  "published": "2009-06-20T23:48:19.000Z",
  "updated": "2012-12-18T02:33:31.000Z",
  "title": "An example of asymptotically Chow unstable manifolds with constant scalar curvature",
  "authors": [
    "Hajime Ono",
    "Yuji Sano",
    "Naoto Yotsutani"
  ],
  "comment": "17 pages",
  "journal": "Annales de l'Institut Fourier, Grenoble, 62, 4(2012), 1265-1287",
  "categories": [
    "math.DG",
    "math.AG"
  ],
  "abstract": "Donaldson proved that if a polarized manifold $(V,L)$ has constant scalar curvature K\\\"ahler metrics in $c_1(L)$ and its automorphism group Aut$(M,L)$ is discrete, $(V,L)$ is asymptotically Chow stable. In this paper, we shall show an example which implies that the above result does not hold in the case when Aut$(V,L)$ is not discrete.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-12-18T02:33:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C55"
    ],
    "keywords": [
      "constant scalar curvature",
      "asymptotically chow unstable manifolds",
      "automorphism group aut"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.3836O"
    }
  }
}