Some applications of the theory of harmonic integrals

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Abstract

In this survey, we present recent techniques on the theory of harmonic integrals to study the cohomology groups of the adjoint bundle with the multiplier ideal sheaf of singular metrics. As an application, we give an analytic version of the injectivity theorem.

Original languageEnglish
Pages (from-to)16-25
Number of pages10
JournalComplex Manifolds
Volume2
Issue number1
DOIs
Publication statusPublished - 2015 Jan

Keywords

  • Injectivity theorems
  • Multiplier ideal sheaves
  • Singular metrics
  • The theory of harmonic integrals L-methods

ASJC Scopus subject areas

  • Geometry and Topology

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