{
  "id": "0909.3107",
  "version": "v1",
  "published": "2009-09-16T20:33:03.000Z",
  "updated": "2009-09-16T20:33:03.000Z",
  "title": "An upper bound for the height for regular affine automorphisms of A^n",
  "authors": [
    "ChongGyu Lee"
  ],
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "In 2006, Kawaguchi proved a lower bound for height of h(f(P)) when f is a regular affine automorphism of A^2, and he conjectured that a similar estimate is also true for regular affine automorphisms of A^n for n>2. In this paper we prove Kawaguchi's conjecture. This implies that Kawaguchi's theory of canonical heights for regular affine automorphisms of projective space is true in all dimensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-09-16T20:33:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37P30",
      "11G50",
      "32H50",
      "37P05"
    ],
    "keywords": [
      "regular affine automorphism",
      "upper bound",
      "lower bound",
      "similar estimate",
      "kawaguchis conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.3107L"
    }
  }
}