NewEvery arXiv paper, its researchers & institutions — mapped.
paper

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This preprint has been withdrawn.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 Please do not cite this preprint any more.

v2: many explanations were added, v3: this preprint has been withdrawn.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