论文标题
局部动机单型猜想，用于简单的非等级奇异性
The local motivic monodromy conjecture for simplicial nondegenerate singularities
论文作者
论文摘要
我们证明了相对于简单的牛顿多面体而言是非排定的奇异性的局部动机构想。因此，这种奇异性的局部拓扑Zeta函数的所有极点都对应于附近某些点的Milnor纤维的共同体的特征值，Igusa的局部$ p $ p $ adic zeta Zeta Zeta功能也是如此。
We prove the local motivic monodromy conjecture for singularities that are nondegenerate with respect to a simplicial Newton polyhedron. It follows that all poles of the local topological zeta functions of such singularities correspond to eigenvalues of monodromy acting on the cohomology of the Milnor fiber of some nearby point, as do the poles of Igusa's local $p$-adic zeta functions for large primes $p$.
