Fractional ideals and integration with respect to the generalised Euler characteristic

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

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 Poincar\'e series are introduced by considering ideal filtrations associated with $b$; the corresponding functional equations of these Poincar\'e series are also described.

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