On the ampleness of positive CR line bundles over Levi-flat manifolds
On the ampleness of positive CR line bundles over Levi-flat manifolds
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DOI：
10.4171/prims/127
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发表时间：
2013-01
影响因子：
1.2
通讯作者：
Masanori Adachi
中科院分区：
文献类型：
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作者：
Masanori Adachi
本文给出了一个紧Levi平坦CR 3-流形的例子，该流形具有一个正的沿叶CR线丛，且该CR线丛对于横截无穷可微的CR截面是不充分的.这个例子表明我们不能改进Ohsawa和Sibony关于紧致Levi平坦CR流形的科代拉型嵌入定理的正则性。
We give an example of a compact Levi-flat CR 3-manifold with a positive-along-leaves CR line bundle which is not ample with respect to transversely infinitely differentiable CR sections. This example shows that we cannot improve the regularity of Kodaira type embedding theorem for compact Levi-flat CR manifolds obtained by Ohsawa and Sibony.