Log minimal models according to Shokurov

Mathematics – Algebraic Geometry

Scientific paper

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6 pages

Scientific paper

Following Shokurov's ideas, we give a short proof of the following klt
version of his result: termination of terminal log flips in dimension d implies
that any klt pair of dimension d has a log minimal model or a Mori fibre space.
Thus, in particular, any klt pair of dimension 4 has a log minimal model or a
Mori fibre space.

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