A proof of the Ohsawa-Takegoshi theorem with sharp estimates

被引：40

作者：

Berndtsson, Bo ^{[1
]}

Lempert, Laszlo ^{[2
]}

机构：

[1] Chalmers Univ Technol, Dept Math, S-41296 Gothenburg, Sweden

[2] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2016年 / 68卷 / 04期

关键词：

Bergman kernel; extension; vector bundles; BERGMAN-KERNEL; EXTENSION;

D O I：

10.2969/jmsj/06841461

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a proof of the Ohsawa-Takegoshi extension theorem with sharp estimates. The proof is based on ideas of Blocki to use variations of domains to simplify his proof of the Suita conjecture, and also uses positivity properties of direct image bundles.

引用

页码：1461 / 1472

页数：12

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