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
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.
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