Extension theorems, non-vanishing and the existence of good minimal models

@article{Demailly2010ExtensionTN,
  title={Extension theorems, non-vanishing and the existence of good minimal models},
  author={J Demailly and Christopher D. Hacon and Mihai Păun},
  journal={Acta Mathematica},
  year={2010},
  volume={210},
  pages={203-259}
}
We prove an extension theorem for effective purely log-terminal pairs (X, S + B) of non-negative Kodaira dimension $${\kappa (K_X+S+B)\ge 0}$$ . The main new ingredient is a refinement of the Ohsawa–Takegoshi L2 extension theorem involving singular Hermitian metrics. 
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