Equivariant Poincare series of filtrations
Algebraic Geometry
2011-02-22 v2
Abstract
We offer a new approach to a definition of an equivariant version of the Poincar\'e series. This Poincar\'e series is defined not as a power series, but as an element of the Grothendieck ring of -sets with an additional structure. We compute this Poincar\'e series for natural filtrations on the ring of germs of functions on the plane with a finite group representation.
Keywords
Cite
@article{arxiv.1005.5656,
title = {Equivariant Poincare series of filtrations},
author = {A. Campillo and F. Delgado and S. M. Gusein-Zade},
journal= {arXiv preprint arXiv:1005.5656},
year = {2011}
}