A note on motivic integration in mixed characteristic

Nicaise, Johannes; Sebag, Julien

Type de document :

Pré-publication ou Document de travail

Titre :

A note on motivic integration in mixed characteristic

Auteur(s) :

Nicaise, Johannes [Auteur]

Laboratoire Paul Painlevé - UMR 8524 [LPP]
Sebag, Julien [Auteur]
Institut de Recherche Mathématique de Rennes [IRMAR]

Discipline(s) HAL :

Mathématiques [math]/Géométrie algébrique [math.AG]

Résumé en anglais : [en]

We introduce a quotient of the Grothendieck ring of varieties by identifying classes of universally homeomorphic varieties. We show that the standard realization morphisms factor through this quotient, and we argue that ...
Lire la suite >We introduce a quotient of the Grothendieck ring of varieties by identifying classes of universally homeomorphic varieties. We show that the standard realization morphisms factor through this quotient, and we argue that it is the correct value ring for the theory of motivic integration on formal schemes and rigid varieties in mixed characteristic. The present note is an excerpt of a detailed survey paper which will be published in the proceedings of the conference "Motivic integration and its interactions with model theory and non-archimedean geometry" (ICMS, 2008).Lire moins >

Langue :

Anglais

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Fichiers

0912.4887
Accès libre
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