On the compactification of hyperconcave ends and the theorems of Siu-Yau and Nadel

• 成果类型: Article
• 署名作者: Marinescu, G; Dinh, TC
• 署名单位: Humboldt University of Berlin; Universite Paris Saclay; Institute of Mathematics of the Romanian Academy; University of Bucharest; Romanian Academy
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-005-0475-7
• 发表日期: 2006
• 页码: 233-248
• 关键词: kahler-manifolds; extension; SPACES

摘要

We show that the 'pseudoconcave holes' of some naturally arising class of manifolds, called hyperconcave ends, can be filled in, including the case of complex dimension two. As a consequence we obtain a stronger version of the compactification theorem of Siu-Yau and extend Nadel's theorems to dimension two.