Log minimal models according to Shokurov

@article{Birkar2008LogMM,
  title={Log minimal models according to Shokurov},
  author={C. Birkar},
  journal={Algebra \& Number Theory},
  year={2008},
  volume={3},
  pages={951-958}
}
  • C. Birkar
  • Published 2008
  • Mathematics
  • Algebra & Number Theory
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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