{
  "id": "1810.04827",
  "version": "v1",
  "published": "2018-10-11T03:04:14.000Z",
  "updated": "2018-10-11T03:04:14.000Z",
  "title": "Derived length of zero entropy groups acting on compact Kahler manifolds",
  "authors": [
    "Tien-Cuong Dinh",
    "Keiji Oguiso",
    "De-Qi Zhang"
  ],
  "comment": "29 pages",
  "categories": [
    "math.AG",
    "math.CV",
    "math.DS"
  ],
  "abstract": "Let X be a compact Kahler manifold of dimension n. Let G be a group of zero entropy automorphisms of X. Let G0 be the set of elements in G which are isotopic to the identity. We prove that after replacing G by a suitable finite-index subgroup, G/G0 is a unipotent group of derived length at most n-1. This is a corollary of an optimal upper bound of length involving the Kodaira dimension of X. We also study the algebro-geometric structure of X when it admits a group action with maximal derived length n-1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-11T03:04:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J50",
      "32M05",
      "32H50",
      "37B40"
    ],
    "keywords": [
      "compact kahler manifold",
      "zero entropy groups acting",
      "derived length",
      "zero entropy automorphisms",
      "optimal upper bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}