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arXiv · 2106.00916

Grothendieck rings of definable subassignments and equivariant motivic measures

Quy Thuong Le
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Abstract

The paper studies categories of definable subassignments with some category equivalences to semi-algebraic and constructible subsets of arc spaces of algebraic varieties. These materials allow us to compare the motivic measure of Cluckers-Loeser and the one of Denef-Loeser in certain classes of definable subassignments.

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Quy Thuong Le. 2021-06-02. Grothendieck rings of definable subassignments and equivariant motivic measures. https://arxiv.org/abs/2106.00916

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