非孤立超曲面奇点的非退化局部驯服完全交变与几何

IF 0.9 1区数学 Q2 MATHEMATICS

Journal of Algebraic Geometry Pub Date : 2022-05-05 DOI:10.1090/jag/784

C. Eyral, M. Oka

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引用次数: 1

摘要

我们给出了一个标准来测试几何性质，如Whitney等奇异性和Thom的一个f - a_f条件，对于新的(可能是非孤立的)超曲面奇点族，“表现良好”相对于它们的牛顿图。作为一个重要的推论，我们得到在这些科中所有的成员都有同构的Milnor纤颤。

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Nondegenerate locally tame complete intersection varieties and geometry of nonisolated hypersurface singularities

We give a criterion to test geometric properties such as Whitney equisingularity and Thom’s a f a_f condition for new families of (possibly nonisolated) 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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来源期刊

Journal of Algebraic Geometry 数学-数学

CiteScore

2.70

自引率

5.60%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology. This journal, published quarterly with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.