Equivariant Poincar\'e series of filtrations and topology
Algebraic Geometry
2015-06-04 v1
Abstract
Earlier, for an action of a finite group on a germ of an analytic variety, an equivariant -Poincar\'e series of a multi-index filtration in the ring of germs of functions on the variety was defined as an element of the Grothendieck ring of -sets with an additional structure. We discuss to which extend the -Poincar\'e series of a filtration defined by a set of curve or divisorial valuations on the ring of germs of analytic functions in two variables determines the (equivariant) topology of the curve or of the set of divisors.
Keywords
Cite
@article{arxiv.1202.4300,
title = {Equivariant Poincar\'e series of filtrations and topology},
author = {A. Campillo and F. Delgado and S. M. Gusein-Zade},
journal= {arXiv preprint arXiv:1202.4300},
year = {2015}
}