Introduction to the log minimal model program for log canonical pairs
Algebraic Geometry
2009-07-10 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0907.1506,
title = {Introduction to the log minimal model program for log canonical pairs},
author = {Osamu Fujino},
journal= {arXiv preprint arXiv:0907.1506},
year = {2009}
}
Comments
158 pages. This version is the same as Kyoto-Math 2009-03. It is a completely revised and expanded version of arXiv:0705.2075 and arXiv:0705.2076