A CANONICAL BUNDLE FORMULA

@article{Fujino2000ACB,
  title={A CANONICAL BUNDLE FORMULA},
  author={Osamu Fujino and Shigefumi Mori},
  journal={Journal of Differential Geometry},
  year={2000},
  volume={56},
  pages={167-188}
}
A higher dimensional analogue of Kodaira’s canonical bundle formula is obtained. As applications, we prove that the log-canonical ring of a klt pair with κ ≤ 3is finitely generated, and that there exists an effectively computable natural number M such that | MK X | induces the Iitaka fibering for every algebraic threefold X with Kodaira dimension κ =1 . 
A canonical bundle formula for certain algebraic fiber spaces and its applications
  • O. Fujino
  • Mathematics
  • Nagoya Mathematical Journal
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