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

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2017,（6）
• 页码范围: 949-962
• 页数: 14页
• 语种: 英文
• DOI: 10.1007/s11425-017-9066-0

摘要

The main purpose of this paper is to generalize the celebrated L2 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 K(a)hler and holomorphically convex,but not necessarily compact.