On existence of log minimal models II

@inproceedings{Birkar2011OnEO,
  title={On existence of log minimal models II},
  author={C. Birkar},
  year={2011}
}
Abstract We prove that the existence of log minimal models in dimension d essentially implies the LMMP with scaling in dimension d. As a consequence we prove that a weak nonvanishing conjecture in dimension d implies the minimal model conjecture in dimension d. 
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References

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On existence of log minimal models
  • C. Birkar
  • Mathematics
  • Compositio Mathematica
  • 2010
Abstract In this paper, we prove that the log minimal model program in dimension d−1 implies the existence of log minimal models for effective lc pairs (e.g. of non-negative Kodaira dimension) inExpand
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