Definable sets, motives and 𝑝-adic integrals

Denef, Jan; Loeser, François

doi:10.1090/S0894-0347-00-00360-X

Definable sets, motives and $p$-adic integrals
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by Jan Denef and François Loeser

J. Amer. Math. Soc. 14 (2001), 429-469

DOI: https://doi.org/10.1090/S0894-0347-00-00360-X

Published electronically: December 8, 2000

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Abstract:

We associate a canonical virtual motive 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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