Some applications of the theory of harmonic integrals

Shin Ichi Matsumura

doi:10.2478/coma-2015-0003

Some applications of the theory of harmonic integrals

Shin Ichi Matsumura

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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 language	English
Pages (from-to)	16-25
Number of pages	10
Journal	Complex Manifolds
Volume	2
Issue number	1
DOIs	https://doi.org/10.2478/coma-2015-0003
Publication status	Published - 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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10.2478/coma-2015-0003

Cite this

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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.",

keywords = "Injectivity theorems, Multiplier ideal sheaves, Singular metrics, The theory of harmonic integrals L-methods",

author = "Matsumura, {Shin Ichi}",

note = "Funding Information: Acknowledgement: The survey is based on a talk given at the workshop “Complex Geometry and Lie Groups{"} in Torino. The author would like to thank the organizers. He is partially supported by the Grant-in-Aid for Young Scientists (B) ♯25800051 from JSPS. Publisher Copyright: {\textcopyright} 2015 Shin-ichi Matsumura, licensee De Gruyter Open.",

year = "2015",

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KW - Multiplier ideal sheaves

KW - Singular metrics

KW - The theory of harmonic integrals L-methods

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Some applications of the theory of harmonic integrals

Abstract

Keywords

ASJC Scopus subject areas

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