Vanishing and injectivity theorems for LMMP

Mathematics – Algebraic Geometry

Scientific paper

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v2: introduction was expanded, minor revisions, v3: this preprint has been withdrawn. everything has been contained in arXiv:0

Scientific paper

This preprint has been withdrawn. It is because I will never publish this
preprint since everything has been contained in my new preprint:
arXiv:0907.1506. Please refer to arXiv:0907.1506. Please do not cite this
preprint any more.

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