Fundamental Theorems for the Log Minimal Model Program

@inproceedings{Fujino2009FundamentalTF,
  title={Fundamental Theorems for the Log Minimal Model Program},
  author={Osamu Fujino},
  year={2009}
}
In this paper, we prove the cone theorem and the contraction theorem for pairs (X, B), where X is a normal variety and B is an effective R-divisor on X such that KX +B is R-Cartier. 

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