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}
}
• Published 2010
• Mathematics
• Acta Mathematica
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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