A transcendental approach to Kollár's injectivity theorem II

Details A transcendental approach to Kollár's injectivity theorem II A transcendental approach to Kollár's injectivity theorem II

2007-05-09

arxiv.org/abs/0705.1199v4

Mathematics

Algebraic Geometry

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

Scientific paper

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

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