Notes on the log minimal model program
arXiv:0705.2076
Abstract
This preprint has been withdrawn.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 Please do not cite this preprint any more.
v2: many explanations were added, v3: this preprint has been withdrawn. everything has been contained in arXiv:0907.1506