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

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

2010-12-02

arxiv.org/abs/1012.0493v2

Mathematics

Algebraic Geometry

49 pages; The proof of Theorem 1.2 contained an error. This theorem has been removed

Scientific paper

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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