{
  "id": "0909.4817",
  "version": "v2",
  "published": "2009-09-25T23:13:48.000Z",
  "updated": "2010-10-19T13:45:01.000Z",
  "title": "On varieties of maximal Albanese dimension",
  "authors": [
    "Zhi Jiang"
  ],
  "comment": "We add a section about pluricanonical map; updated references;comments welcome",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $f: X\\to Y$ be a surjective morphism of smooth $n$-dimensional projective varieties, with $Y$ of maximal Albanese dimension. Hacon and Pardini studied the structure of $f$ assuming $P_m(X)=P_m(Y)$ for some $m\\geq 2$. We extend their result by showing that, under the above assumtions, $f$ is birationally equivalent to a quotient by a finite abelian group. We also study the pluricanonical map of varieties of maximal Albanese dimesnion. The main result is that the linear series $|5K_X|$ incuces the Iitaka model of $X$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-10-19T13:45:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J40",
      "14K12"
    ],
    "keywords": [
      "maximal albanese dimension",
      "finite abelian group",
      "maximal albanese dimesnion",
      "dimensional projective varieties",
      "main result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.4817J"
    }
  }
}