On existence of log minimal models

@article{Birkar2010OnEO,
  title={On existence of log minimal models},
  author={C. Birkar},
  journal={Compositio Mathematica},
  year={2010},
  volume={146},
  pages={919 - 928}
}
  • C. Birkar
  • Published 2010
  • Mathematics
  • Compositio Mathematica
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) in dimension d. In fact, we prove that the same conclusion follows from a weaker assumption, namely, the log minimal model program with scaling in dimension d−1. This enables us to prove that effective lc pairs in dimension five have log minimal models. We also give new proofs of the existence of log… Expand

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