{
  "id": "2111.10900",
  "version": "v3",
  "published": "2021-11-21T21:33:31.000Z",
  "updated": "2022-10-12T22:58:19.000Z",
  "title": "Conjectures on the Kodaira dimension",
  "authors": [
    "Mihnea Popa"
  ],
  "comment": "8 pages; v2: the statements of two new results involving varieties of general type and abelian varieties included, plus various small changes; v3: improved exposition, including various updates",
  "categories": [
    "math.AG"
  ],
  "abstract": "I propose a few increasingly stronger \"superadditivity\" conjectures regarding the behavior of Kodaira dimension under morphisms of smooth quasi-projective complex varieties.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2022-10-12T22:58:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J10",
      "14D06"
    ],
    "keywords": [
      "kodaira dimension",
      "conjectures",
      "smooth quasi-projective complex varieties",
      "increasingly stronger"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}