论文标题
在CR单数CR图像上
On CR singular CR images
论文作者
论文摘要
我们说，如果$ m $的Cr点在$ m $上作为抽象的Cr结构扩展为$ m $的CR点，则Cr Singular Sugnull suidmanifold $ m $具有可移动的Cr奇异性。我们研究了这种真实分析的子曼菲尔德，在这种情况下，可移动性等于$ m $，这是全体形态地图下通用的真实分析的子手机$ n $的图像，这是$ n $ n $ n $ to $ m $的图像，我们称之为cr图像。我们研究了Cr奇异性在扰动，相关的二次不变的稳定性以及可移除Cr奇异性的条件。还证明了引理涉及在CR子曼群上的全体形态功能的零，这可能具有独立的关注。
We say that a CR singular submanifold $M$ has a removable CR singularity if the CR structure at the CR points of $M$ extends through the singularity as an abstract CR structure on $M$. We study such real-analytic submanifolds, in which case removability is equivalent to $M$ being the image of a generic real-analytic submanifold $N$ under a holomorphic map that is a diffeomorphism of $N$ onto $M$, what we call a CR image. We study the stability of the CR singularity under perturbation, the associated quadratic invariants, and conditions for removability of a CR singularity. A lemma is also proved about perturbing away the zeros of holomorphic functions on CR submanifolds, which could be of independent interest.
