A transcendental approach to Koll\'ar's injectivity theorem II
Algebraic Geometry
2012-03-06 v4 Complex Variables
Abstract
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.
Keywords
Cite
@article{arxiv.0705.1199,
title = {A transcendental approach to Koll\'ar's injectivity theorem II},
author = {Osamu Fujino},
journal= {arXiv preprint arXiv:0705.1199},
year = {2012}
}
Comments
30 pages, v2: added many corollaries, v3: minor modifications, v4: minor revision following referee's comments