# MathSciDoc: An Archive for Mathematician ∫

#### Algebraic Geometrymathscidoc:1701.01004

Acta Mathematica, 210, (2), 203-259, 2011.2
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$L$^{2}extension theorem involving singular Hermitian metrics.
@inproceedings{jean-pierre2011extension,
title={Extension theorems, non-vanishing and the existence of good minimal models},
author={Jean-Pierre Demailly, Christopher D. Hacon, and Mihai Păun},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203400674689770},
booktitle={Acta Mathematica},
volume={210},
number={2},
pages={203-259},
year={2011},
}

Jean-Pierre Demailly, Christopher D. Hacon, and Mihai Păun. Extension theorems, non-vanishing and the existence of good minimal models. 2011. Vol. 210. In Acta Mathematica. pp.203-259. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203400674689770.