Some applications of the theory of harmonic integrals

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.

Keywords

• Injectivity theorems
• Singular metrics
• Multiplier ideal sheaves
• The theory of harmonic integrals
• L2-methods
• 14F18
• 32L10
• 32L20