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

Jean-Pierre Demailly; Christopher D. Hacon; Mihai Paun

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

Algebraic Geometry 2010-12-22 v2 Complex Variables

Authors: Jean-Pierre Demailly , Christopher D. Hacon , Mihai Paun

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.

Keywords

extension theorem plt pair Kodaira dimension Ohsawa-Takegoshi L^2 extension theorem singular hermitian metric minimal model

Cite

@article{arxiv.1012.0493,
  title  = {Extension theorems, Non-vanishing and the existence of good minimal models},
  author = {Jean-Pierre Demailly and Christopher D. Hacon and Mihai Paun},
  journal= {arXiv preprint arXiv:1012.0493},
  year   = {2010}
}

Comments

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

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

Abstract

Keywords

Cite

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