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arxiv: 0804.3577 · v1 · submitted 2008-04-22 · 🧮 math.AG

Log minimal models according to Shokurov

classification 🧮 math.AG
keywords dimensionminimalfibrefollowingmodelmoripairshokurov
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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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