A note on motivic integration in mixed characteristic
Algebraic Geometry
2009-12-25 v1
Abstract
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).
Keywords
Cite
@article{arxiv.0912.4887,
title = {A note on motivic integration in mixed characteristic},
author = {Johannes Nicaise and Julien Sebag},
journal= {arXiv preprint arXiv:0912.4887},
year = {2009}
}