Fundamental theorems for the log minimal model program

Details Fundamental theorems for the log minimal model program Fundamental theorems for the log minimal model program

2009-09-24

arxiv.org/abs/0909.4445v3

Mathematics

Algebraic Geometry

64 pages. This is a slightly revised version of Kyoto-Math 2009-25, v2: Theorem 10.5 is new, minor modifications, v3: minor mo

Scientific paper

In this paper, we prove the cone theorem and the contraction theorem for
pairs $(X, B)$, where $X$ is a normal variety and $B$ is an effective $\mathbb
R$-divisor on $X$ such that $K_X+B$ is $\mathbb R$-Cartier.

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