A note on motivic integration in mixed characteristic

Nicaise, Johannes; Sebag, Julien

Document type :

Pré-publication ou Document de travail

Title :

A note on motivic integration in mixed characteristic

Author(s) :

Nicaise, Johannes [Auteur]

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

HAL domain(s) :

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

English abstract : [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 ...
Show more >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).Show less >

Language :

Anglais

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

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