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

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

We prove an extension theorem for effective plt 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-Takegosh…