论文标题

伪晶图的图像和奇异性子集

Images and singularity subsets of pseudoholomorphic maps

论文作者

Zhang, Weiyi

论文摘要

我们研究一般假晶图的图像和奇异性子集。我们表明,当域或目标的尺寸为四个时,适当的假酚形态图的图像是伪酚类的亚变量。我们还证明,当域具有四个尺寸时,假酚构图的奇异性子集是伪酚晶。

We study the image and the singularity subset of a general pseudoholomorphic map. We show that the image of a proper pseudoholomorphic map is a pseudoholomorphic subvariety when the dimension of either the domain or target is four. We also prove that the singularity subset of a pseudoholomorphic map is pseudoholomorphic when the domain has dimension four.

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