Equivariant Poincar\'e series and topology of valuations
Algebraic Geometry
2015-05-18 v1
Abstract
The equivariant with respect to a finite group action Poincar\'e series of a collection of valuations was defined earlier as a power series in variables with the coefficients from a modification of the Burnside ring of the group. Here we show that (modulo simple exceptions) the equivariant Poincar\'e series determines the equivariant topology of the collection of valuations.
Keywords
Cite
@article{arxiv.1505.03920,
title = {Equivariant Poincar\'e series and topology of valuations},
author = {A. Campillo and F. Delgado and S. M. Gusein-Zade},
journal= {arXiv preprint arXiv:1505.03920},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:1405.3005