Introduction to the log minimal model program for log canonical pairs

Details Introduction to the log minimal model program for log canonical pairs Introduction to the log minimal model program for log canonical pairs

2009-07-09

arxiv.org/abs/0907.1506v1

Mathematics

Algebraic Geometry

158 pages. This version is the same as Kyoto-Math 2009-03. It is a completely revised and expanded version of arXiv:0705.2075

Scientific paper

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.

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