Microlocal analysis of constructible functions and their applications to singularity theory

利用可构造层的邻近环函子，研究了Varchenko型Milnor纤维的单线Zeta函数和Milnor纤维单线的Jordan范式。对于仿射环簇上的非退化多项式，我们得到了与经典结果类似的结果。作为结果和无穷远处单一性的应用，我们还研究了环簇的欧拉障碍和A-判别的次数公式。

We studied monodromy zeta functions of Milnor fibers of Varchenko type and Jordan normal forms of monodromy of Milnor fibers by using the nearby cycle functor of constructible sheaves. For non-degenerate polynomials on affine toric varieties, we obtained similar results to classical ones. We also studied Euler obstructions of toric varieties and degree formulas for A-discriminats as applications of our results and monodromy at infinity.