Microlocal analysis of constructible functions and their applications to singularity theory

利用可构造层的邻域圈函子研究了Varchenko型Milnor纤维的单值zeta函数和Milnor纤维单值的Jordan标准形。对于仿射复曲面簇上的非退化多项式，我们得到了与经典多项式相似的结果。我们还研究了复曲面簇的Euler障碍和A-判别式的度公式，作为我们的结果和无穷远处的单值性的应用。

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.