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Extension theorems, non-vanishing and the existence of good minimal models |
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| Authors: | Jean-Pierre Demailly Christopher D Hacon Mihai Păun |
| Institution: | 1. Département de Mathématiques, Institut Fourier, Université de Grenoble I, FR-38402, Saint-Martin d’Hères, France 2. Department of Mathematics, University of Utah, 155 South 1400 East JWB 233, Salt Lake City, UT, 84112, U.S.A. 3. Institut élie Cartan, Université Henri Poincaré, B. P. 70239, FR-54506, Vandoeuvre-lès-Nancy Cedex, France |
| 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 L 2 extension theorem involving singular Hermitian metrics. |
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