A Nadel vanishing theorem via injectivity theorems

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

The purpose of this paper is to establish Nadel type vanishing theorems with multiplier ideal sheaves of singular metrics admitting an analytic Zariski decomposition (such as, metrics with minimal singularities and Siu's metrics). For this purpose, we generalize Kollár's injectivity theorem to an injectivity theorem for line bundles equipped with singular metrics, by making use of the theory of harmonic integrals. Moreover we give asymptotic cohomology vanishing theorems for high tensor powers of line bundles.

Original languageEnglish
Pages (from-to)785-802
Number of pages18
JournalMathematische Annalen
Volume359
Issue number3-4
DOIs
Publication statusPublished - 2014 Jan 1
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'A Nadel vanishing theorem via injectivity theorems'. Together they form a unique fingerprint.

Cite this