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

Jorge Martín-Morales

Published 2011-06-24, updated 2011-06-27Version 2

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.