Abstract
We prove some injectivity, torsion-free, and vanishing theorems for simple normal crossing pairs. Our results heavily depend on the theory of mixed Hodge structures on cohomology groups with compact support. We also treat several basic properties of semi divisorial log terminal pairs.
Information
Published: 1 January 2016
First available in Project Euclid: 4 October 2018
zbMATH: 1369.14027
MathSciNet: MR3618264
Digital Object Identifier: 10.2969/aspm/07010299
Subjects:
Primary:
14F17
Secondary:
14E30
Keywords:
Hodge theory
,
semi divisorial log terminal
,
semipositivity
,
torsion-free theorem
,
vanishing theorems
Rights: Copyright © 2016 Mathematical Society of Japan