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arXiv · 1005.5656

Equivariant Poincare series of filtrations

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

We offer a new approach to a definition of an equivariant version of the Poincaré series. This Poincaré series is defined not as a power series, but as an element of the Grothendieck ring of $G$-sets with an additional structure. We compute this Poincaré series for natural filtrations on the ring of germs of functions on the plane $(\C^2,0)$ with a finite group representation.

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A. Campillo, F. Delgado, S. M. Gusein-Zade. 2011-02-19. Equivariant Poincare series of filtrations. https://arxiv.org/abs/1005.5656

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