Equivariant Poincaré series and topology of valuations (Q288663)
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scientific article; zbMATH DE number 6586174
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equivariant Poincaré series and topology of valuations |
scientific article; zbMATH DE number 6586174 |
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Equivariant Poincaré series and topology of valuations (English)
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27 May 2016
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Summary: 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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finite group actions
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Poincaré series
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plane valuations
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equivariant topology
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