%0 Journal Article
%T Equivariant Poincar¨¦ series and topology of valuations
%A A. Campillo
%A F. Delgado
%A S. M. Gusein-Zade
%J Mathematics
%D 2015
%I arXiv
%X The equivariant with respect to a finite group action Poincar\'e series of a collection of $r$ valuations was defined earlier as a power series in $r$ 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.
%U http://arxiv.org/abs/1505.03920v1