• Mathematics
  • Published 2009

Introduction to the log minimal model program for log canonical pairs

@inproceedings{Fujino2009IntroductionTT,
  title={Introduction to the log minimal model program for log canonical pairs},
  author={Osamu Fujino},
  year={2009}
}
We describe the foundation of the log minimal model program for log canonical pairs according to Ambro's idea. We generalize Koll\'ar's vanishing and torsion-free theorems for embedded simple normal crossing pairs. Then we prove the cone and contraction theorems for quasi-log varieties, especially, for log canonical pairs.