A transcendental approach to Kollár's injectivity theorem II

Abstract

We treat a relative version of the main theorem in my previous paper: A transcendental approach to Kollár's injectivity theorem. More explicitly, we give a curvature condition that implies Kollár type cohomology injectivity theorems in the relative setting. To carry out this generalization, we use the Ohsawa-Takegoshi twisted version of Nakano's identity.

30 pages, v2: added many corollaries, v3: minor modifications, v4: minor revision following referee's comments

References in corpus (2)

• Introduction to the log minimal model program for log canonical pairs
• A transcendental approach to Kollár's injectivity theorem

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• Some Kollar-Enoki type injectivity and Nadel type vanishing theorems on compact Kahler manifolds