论文标题

非分类局部驯服的非分离奇异性的几何形状

Geometry of non-degenerate locally tame non-isolated singularities

论文作者

Eyral, Christophe, Oka, Mutsuo

论文摘要

我们给出了测试几何特性的标准,例如惠特尼公式性和Thom的$ A_F $条件,适用于(可能是非异形)超表面奇异性,这些奇异性在其牛顿图中“表现良好”。作为重要的推论,我们获得了这样的家庭中所有成员具有同构的MILNOR纤维纤维。

We give a criterion to test geometric properties such as Whitney equisingularity and Thom's $a_f$ condition for new families of (possibly non-isolated) hypersurface singularities that "behave well" with respect to their Newton diagrams. As an important corollary, we obtain that in such families all members have isomorphic Milnor fibrations.

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