On the Poincaré series for a plane divisorial valuation (Q1346375)
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scientific article; zbMATH DE number 737227
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Poincaré series for a plane divisorial valuation |
scientific article; zbMATH DE number 737227 |
Statements
On the Poincaré series for a plane divisorial valuation (English)
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22 October 1995
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Let \((R,m)\) be a two-dimensional local regular ring with algebraically closed residue field. The author proves that for a divisorial valuation, the associated dual graph and the Poincaré series are equivalent data.
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regular ring
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divisorial valuation
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Poincaré series
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