Fundamental theorems for the log minimal model program

Osamu Fujino

Fundamental theorems for the log minimal model program

Algebraic Geometry 2010-08-17 v3

Authors: Osamu Fujino

Abstract

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.

Keywords

log canonical geometry general mathematical theorems and proofs

Cite

@article{arxiv.0909.4445,
  title  = {Fundamental theorems for the log minimal model program},
  author = {Osamu Fujino},
  journal= {arXiv preprint arXiv:0909.4445},
  year   = {2010}
}

Comments

64 pages. This is a slightly revised version of Kyoto-Math 2009-25, v2: Theorem 10.5 is new, minor modifications, v3: minor modifications, Theorem 18.10 is new

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