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Log minimal models according to Shokurov. (English) Zbl 1194.14021
The author proves that termination of terminal flips in dimension \(d\) implies that any klt log pair of dimension \(d\) is either birational to its log minimal model or to a Mori fibre space. This important result implies, in particular, that any klt log pair of dimension \(4\) is either birational to its log minimal model or to a Mori fibre space. The paper is very nicely written.

MSC:
14E30 Minimal model program (Mori theory, extremal rays)
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