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arXiv · 1505.03920

Equivariant Poincaré series and topology of valuations

A. Campillo·F. Delgado·S. M. Gusein-Zade
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Abstract

The equivariant with respect to a finite group action Poincaré 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 Poincaré series determines the equivariant topology of the collection of valuations.

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A. Campillo, F. Delgado, S. M. Gusein-Zade. 2015-05-14. Equivariant Poincaré series and topology of valuations. https://arxiv.org/abs/1505.03920

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