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arXiv math/0210485math.CVmath.DG
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关于超凹端点的紧化及Siu-Yau和Nadel定理

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

George Marinescu, Tien-Cuong Dinh

摘要:

我们表明,伪凹洞的一些自然产生的类流形,称为超凹的结束,可以填补,包括复杂的维2的情况下。作为结果,我们得到了一个更强的版本的紧化定理的萧丘,并延长Nadel的定理到2维。

英文摘要:

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 2 . As a consequence we obtain a stronger version of the compactification theorem of Siu-Yau and extend Nadel's theorems to dimension 2.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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