Open Access
VOL. 70 | 2016 Vanishing theorems
Osamu Fujino

Editor(s) János Kollár, Osamu Fujino, Shigeru Mukai, Noboru Nakayama

Adv. Stud. Pure Math., 2016: 299-321 (2016) DOI: 10.2969/aspm/07010299

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

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