The Poincaré series of a simple complete ideal of a two-dimensional regular local ring |
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| Authors: | K Kiyek JJ Moyano-Fernández |
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| Institution: | a Institut für Mathematik, Universität Paderborn, Warburgerstrasse 100, D-33098 Paderborn, Germany
b Institut für Mathematik, Universität Osnabrück, Albrechtstrasse 28a, D-49076 Osnabrück, Germany |
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| Abstract: | The aim of this work is to introduce both a classical and a motivic Poincaré series associated with a residually rational simple complete m-primary ideal ℘ of a two-dimensional regular local ring (R,m). We describe them in terms of the generators of the value semigroup of ℘, and compare them with the Poincaré series arising from a general element f for ℘. |
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| Keywords: | 13H05 13B22 |
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