On images of weak Fano manifolds

Osamu Fujino; Yoshinori Gongyo

On images of weak Fano manifolds

Algebraic Geometry 2010-05-03 v2

Authors: Osamu Fujino , Yoshinori Gongyo

Abstract

We consider a smooth projective morphism between smooth complex projective varieties. If the source space is a weak Fano (or Fano) manifold, then so is the target space. Our proof is Hodge theoretic. We do not need mod $p$ reduction arguments. We also discuss related topics and questions.

Keywords

weak Fano manifolds smooth projective morphism Hodge theory complex projective varieties Fano manifolds

Cite

@article{arxiv.1003.1483,
  title  = {On images of weak Fano manifolds},
  author = {Osamu Fujino and Yoshinori Gongyo},
  journal= {arXiv preprint arXiv:1003.1483},
  year   = {2010}
}

Comments

17 pages, v2:added Section 6

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