# 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 .

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