A transcendental approach to Kollár's injectivity theorem II

2007/05/09 by Fujino, Osamu · 2 citations
#32L10 #32W05 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.0705.1199

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.

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• An extension theorem in terms of adjoint ideal sheaves
• On finiteness of relative log pluricanonical representations

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