Some applications of the theory of harmonic integrals

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.

Bibliographic Details
Main Author: Matsumura Shin-ichi
Format: Article
Language:English
Published: De Gruyter 2015-07-01
Series:Complex Manifolds
Subjects:
Online Access:http://www.degruyter.com/view/j/coma.2015.2.issue-1/coma-2015-0003/coma-2015-0003.xml?format=INT