Extension theorems, non-vanishing and the existence of good minimal models
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- 1 January 2013
- journal article
- research article
- Published by International Press of Boston in Acta Mathematica
- Vol. 210 (2) , 203-259
Abstract
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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