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Definable sets, motives and p-adic integrals

J. Denef·F. Loeser
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Abstract

We associate canonical virtual motives to definable sets over a field of characteristic zero. We use this construction to show that very general p-adic integrals are canonically interpolated by motivic ones.

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J. Denef, F. Loeser. 1999-10-22. Definable sets, motives and p-adic integrals. https://arxiv.org/abs/math/9910107

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