A note on motivic integration in mixed ...
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]
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 >
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 :
Source :
Fichiers
- 0912.4887
- Accès libre
- Accéder au document