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arXiv · 1106.6079

Fractional ideals and integration with respect to the generalised Euler characteristic

Julio José Moyano-Fernández
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Abstract

Let $b$ be a fractional ideal of a one-dimensional Cohen-Macaulay local ring $O$ containing a perfect field $k$. This paper is devoted to the study some $O$-modules associated with $b$. In addition, different motivic Poincaré series are introduced by considering ideal filtrations associated with $b$; the corresponding functional equations of these Poincaré series are also described.

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Julio José Moyano-Fernández. 2011-06-29. Fractional ideals and integration with respect to the generalised Euler characteristic. https://arxiv.org/abs/1106.6079

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