论文标题

紧凑的复合歧管,其分析子集的补充是Kahler

Compact complex manifolds whose complement of an analytic subset is Kahler

论文作者

Shimobe, Hirokazu

论文摘要

在本文中,我们考虑了一类平衡的流形,并提供了Silva提出的问题的证明,即紧凑的复杂歧管是在分析子集之外的Kahler。接下来,作为该定理的一种特殊情况,我们证明了Kahler Submanifold外的Kahler的紧凑型复合歧管是C类。最后,我们证明,沿Hironaka的hironaka的例子爆炸是Kahler的,我们确定Hironaka的例子就是该定理的例子。

In this paper, we consider a class of balanced manifolds and provide a proof of a problem proposed by Silva-that compact complex manifolds that are Kahler outside an analytic subset are balanced. Next, as a special case of this theorem, we prove that compact complex manifolds which are Kahler outside a Kahler submanifold are class C. Finally, we prove that a blow up along a submanifold of Hironaka's examples are Kahler, and we establish that Hironaka's examples are examples of this theorem.

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