Definable sets, motives and 𝑝-adic integrals

8 December 2000

journal article
Published by American Mathematical Society (AMS) in Journal of the American Mathematical Society

Vol. 14 (2) , 429-469
https://doi.org/10.1090/s0894-0347-00-00360-x

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 p -adic integrals are canonically interpolated by motivic ones.

Keywords

ALGEBRAIC GEOMETRY

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