{
  "id": "2010.06426",
  "version": "v1",
  "published": "2020-10-13T14:39:30.000Z",
  "updated": "2020-10-13T14:39:30.000Z",
  "title": "Characterization of toric varieties via int-amplified endomorphisms",
  "authors": [
    "Shou Yoshikawa"
  ],
  "comment": "8 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper, we obtain a characterization of toric varieties via int-amplified endomorphisms. We prove that if $f \\colon X \\to X$ is an int-amplified endomorphism of a smooth complex projective variety $X$, then $X$ is toric if and only if $f_*L$ is a direct sum of line bundles on $X$ for every line bundle $L$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-13T14:39:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M25",
      "08A35"
    ],
    "keywords": [
      "int-amplified endomorphism",
      "toric varieties",
      "characterization",
      "line bundle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}