Monodromy Zeta Function Formula for Embedded $\mathbf{Q}$-Resolutions

Abstract

In a previous work we have introduced the notion of embedded $\Q$-resolution, which essentially consists in allowing the final ambient space to contain abelian quotient singularities. Here we give a generalization of N. A'Campo's formula for the monodromy zeta function of a singularity in this setting. Some examples of its applications are shown.

30 pages, 9 figures