{
  "id": "1712.07780",
  "version": "v1",
  "published": "2017-12-21T03:26:18.000Z",
  "updated": "2017-12-21T03:26:18.000Z",
  "title": "Manin's Conjecture and the Fujita invarant of finite covers",
  "authors": [
    "Akash Kumar Sengupta"
  ],
  "comment": "16 pages",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "We prove a conjecture of Lehmann-Tanimoto about the behaviour of the Fujita invariant (or $a$-constant appearing in Manin's conjecture) under pull-back to generically finite covers. As a consequence we obtain results about geometric consistency of Manin's conjecture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-21T03:26:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "manins conjecture",
      "fujita invarant",
      "geometric consistency",
      "generically finite covers",
      "fujita invariant"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}