English

Rational connectedness of log $Q$-Fano varieties

Algebraic Geometry 2007-05-23 v3

Abstract

In this paper, we give an affirmative answer to a conjecture in the Minimal Model Program. We prove that log QQ-Fano varieties of dim nn are rationally connected. We also study the behavior of the canonical bundles under projective morphisms.

Keywords

Cite

@article{arxiv.math/0408301,
  title  = {Rational connectedness of log $Q$-Fano varieties},
  author = {Qi Zhang},
  journal= {arXiv preprint arXiv:math/0408301},
  year   = {2007}
}

Comments

Minor modifications. To appear in J. reine angew. Math