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arXiv · 1012.0493

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

Jean-Pierre Demailly·Christopher D. Hacon·Mihai Paun
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Abstract

We prove an extension theorem for effective plt pairs $(X,S+B)$ of non-negative Kodaira dimension $\kappa (K_X+S+B)\geq 0$. The main new ingredient is a refinement of the Ohsawa-Takegoshi $L^2$ extension theorem involving singular hermitian metrics.

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Jean-Pierre Demailly, Christopher D. Hacon, Mihai Paun. 2010-12-02. Extension theorems, Non-vanishing and the existence of good minimal models. https://arxiv.org/abs/1012.0493

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