An equivariant version of the monodromy zeta function
Algebraic Geometry
2008-03-27 v1 Complex Variables
Abstract
We offer an equivariant version of the classical monodromy zeta function of a singularity as a series with coefficients from the Grothendieck ring of finite G-sets tensored by the field of rational numbers. Main two ingredients of the definition are equivariant Lefschetz numbers and the lambda-structure on the Grothendieck ring of finite G-sets. We give an A'Campo type formula for the equivariant zeta function.
Cite
@article{arxiv.0803.3708,
title = {An equivariant version of the monodromy zeta function},
author = {S. M. Gusein-Zade and I. Luengo and A. Melle Hernandez},
journal= {arXiv preprint arXiv:0803.3708},
year = {2008}
}