A general extension theorem for cohomology classes on non reduced analytic subspaces

被引：32

作者：

Cao, JunYan ^{[1
]}

Demailly, Jean-Pierre ^{[2
]}

Matsumura, Shin-ichi ^{[3
]}

机构：

[1] Univ Paris 06, Inst Math Jussieu, F-75252 Paris, France

[2] Univ Grenoble Alpes, Inst Fourier, F-38610 Gieres, France

[3] Tohoku Univ, Math Inst, Sendai, Miyagi 9808578, Japan

来源：

SCIENCE CHINA-MATHEMATICS | 2017年 / 60卷 / 06期

基金：

欧洲研究理事会; 日本学术振兴会;

关键词：

compact Kahler manifold; singular hermitian metric; coherent sheaf cohomology; Dolbeault cohomology; plurisubharmonic function; L-2; estimates; Ohsawa-Takegoshi extension theorem; multiplier ideal sheaf;

D O I：

10.1007/s11425-017-9066-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this paper is to generalize the celebrated L (2) extension theorem of Ohsawa and Takegoshi in several directions: The holomorphic sections to extend are taken in a possibly singular hermitian line bundle, the subvariety from which the extension is performed may be non reduced, the ambient manifold is Kahler and holomorphically convex, but not necessarily compact.

引用

页码：949 / 962

页数：14

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