Injectivity theorems with multiplier ideal sheaves and their applications

研究成果: Conference contribution

6 被引用数 (Scopus)

抄録

The purpose of this survey is to present analytic versions of the injectivity theorem and their applications. The proof of our injectivity theorems is based on a combination of the L2-method for the (Formula presented)-equation and the theory of harmonic integrals. As applications, we obtain Nadel type vanishing theorems and extension theorems for pluri-canonical sections of log pairs. Moreover, we give some results on semi-ampleness related to the abundance conjecture in birational geometry (the minimal model program).

本文言語English
ホスト出版物のタイトルComplex Analysis and Geometry - KSCV 2014
編集者Jisoo Byun, Filippo Bracci, Hervé Gaussier, Kang-Tae Kim, Nikolay Shcherbina, Kengo Hirachi
出版社Springer New York LLC
ページ241-255
ページ数15
ISBN(印刷版)9784431557432
DOI
出版ステータスPublished - 2015
イベント10th Korean Conference on Several Complex Variables, KSCV 2014 - Gyeongju, Korea, Republic of
継続期間: 2014 8 72014 8 11

出版物シリーズ

名前Springer Proceedings in Mathematics and Statistics
144
ISSN(印刷版)2194-1009
ISSN(電子版)2194-1017

Other

Other10th Korean Conference on Several Complex Variables, KSCV 2014
国/地域Korea, Republic of
CityGyeongju
Period14/8/714/8/11

ASJC Scopus subject areas

  • 数学 (全般)

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