Abstract
We prove some injectivity theorems. Our proof depends on the theory of mixed Hodge structures on cohomology with compact support. Our injectivity theorems would play crucial roles in the minimal model theory for higher-dimensional algebraic varieties. We also treat some applications.
Information
Published: 1 January 2017
First available in Project Euclid: 23 October 2018
zbMATH: 1388.14105
MathSciNet: MR3791211
Digital Object Identifier: 10.2969/aspm/07410131
Subjects:
Primary:
14F17
Secondary:
14E30
Keywords:
Du Bois complexes
,
Du Bois singularities
,
extension theorems
,
injectivity theorems
,
mixed Hodge structures on cohomology with compact support
,
simple normal crossing varieties
Rights: Copyright © 2017 Mathematical Society of Japan
