On Innermost Circles of the Sets of Singular Values for Generic Deformations of Isolated Singularities
On Innermost Circles of the Sets of Singular Values for Generic Deformations of Isolated Singularities
复制标题
孤立奇点一般变形奇异值集的最内圆
DOI：
10.1007/s40306-016-0200-1
复制
发表时间：
2017
影响因子：
0.5
通讯作者：
Nguyen Tat Thang
中科院分区：
文献类型：
--
作者：
Kazumasa Inaba;Masaharu Ishikawa;Masayuki Kawashima;Nguyen Tat Thang
我们证明了对于k ∈ 1，存在一个从到的真实的解析映射的孤立奇点，该映射允许一个真实的解析变形，使得变形映射的奇异值集有一个简单的，最里面的分支，有k个向外的尖点，没有向内的尖点.相反，如果k =1，则不存在这样的奇点。
We will show that for eachk≠1, there exists an isolated singularity of a real analytic map fromtowhich admits a real analytic deformation such that the set of singular values of the deformed map has a simple, innermost component withkoutward cusps and no inward cusps. Conversely, such a singularity does not exist ifk=1.