接触位点，非简并奇点的动力米尔诺纤维

Pub Date : 2020-02-01 DOI:10.3792/pjaa.96.003

Q. Lê, T. Nguyen

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引用次数: 0

摘要

受Denef-Loeser关于接触轨迹紧支撑欧拉特征与复奇点Lefschetz数的恒等的启发，我们研究了复非简并奇点接触轨迹的轴上同调群。此外，对于这些奇异点，我们也得到了Le - Du ~ ng Tra´ng关于复奇异点的单调关系及其对一般超平面的限制的一个动力模拟。

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Contact loci, motivic Milnor fibers of nondegenerate singularities

: Inspired by Denef-Loeser’s identity of the Euler characteristic with compact supports of the contact loci with the Lefschetz numbers of a complex singularity, we study sheaf cohomology groups of contact loci of complex nondegenerate singularities. Moreover, also for these singularities, we obtain a motivic analogue of Leˆ Du˜ng Tra´ng’s work on a monodromy relation of a complex singularity and its restriction to a generic hyperplane.

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