{
  "id": "1307.1959",
  "version": "v2",
  "published": "2013-07-08T06:51:15.000Z",
  "updated": "2013-07-09T07:31:18.000Z",
  "title": "Strong K-stability and asymptotic Chow-stability",
  "authors": [
    "Toshiki Mabuchi",
    "Yasufumi Nitta"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "For a polarized algebraic manifold $(X,L)$, let $T$ be an algebraic torus in the group of all holomorphic automorphisms of $X$. Then strong relative K-stability will be shown to imply asymptotic relative Chow-stability. In particular, by taking $T$ to be trivial, we see that asymptotic Chow-stability follows from strong K-stability.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-07-09T07:31:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32Q26",
      "14L24",
      "53C25"
    ],
    "keywords": [
      "asymptotic chow-stability",
      "strong k-stability",
      "algebraic torus",
      "polarized algebraic manifold",
      "holomorphic automorphisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.1959M"
    }
  }
}