Termination of (many) 4-dimensional log flips
成果类型：
Article
署名作者：
Alexeev, Valery; Hacon, Christopher; Kawamata, Yujiro
署名单位：
University System of Georgia; University of Georgia; Utah System of Higher Education; University of Utah; University of Tokyo
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-007-0038-1
发表日期：
2007
页码：
433-448
关键词：
摘要：
We prove that any sequence of 4-dimensional log flips that begins with a klt pair (X,D) such that -(K-X +D) is numerically equivalent to an effective divisor, terminates. This implies termination of flips that begin with a log Fano pair and termination of flips in a relative birational setting. We also prove termination of directed flips with big K-X +D. As a consequence, we prove existence of minimal models of 4-dimensional dlt pairs of general type, existence of 5-dimensional log flips, and rationality of Kodaira energy in dimension 4.
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