Definable sets, motives and 𝑝-adic integrals-Reference-Cited by-同舟云学术

Definable sets, motives and 𝑝-adic integrals

Published:2000-12-08 Issue:2 Volume:14 Page:429-469
ISSN:0894-0347
Container-title:Journal of the American Mathematical Society
language:en
Short-container-title:J. Amer. Math. Soc.

Author:

Denef Jan,Loeser François

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/jams/2001-14-02/S0894-0347-00-00360-X/S0894-0347-00-00360-X.pdf

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5. CH R. Cluckers, D. Haskell, The Grothendieck ring of the 𝑝-adic numbers, preprint (5 pages).

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