Definable sets, motives and 𝑝-adic integrals

Denef, Jan ¹   ; Loeser, François ²

¹ Department of Mathematics, University of Leuven, Celestijnenlaan 200B, 3001 Leuven, Belgium
² Département de mathématiques et applications, École Normale Supérieure, 45 rue d’Ulm, 75230 Paris Cedex 05, France (UMR 8553 du CNRS)

Journal of the American Mathematical Society, Tome 14 (2001) no. 2, pp. 429-469

Résumé

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.

Détail

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

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