Arc Stability and Schemic Motivic Integration
Algebraic Geometry
2013-11-18 v4 Logic
Abstract
We present a general, functorial approach to Motivic Integration for separated schemes of finite type in lieu of recent work by Hans Schoutens on the subject. Presented is a change of variables formula and a hierarchy of stability properties which are closely connected to the integrability of Motivic functions for schemes. Most notably, we prove that if a scheme has smooth reduction then it has a natural geometric definition of motivic volume in the Grothendick ring of the formal motivic site.
Keywords
Cite
@article{arxiv.1212.1375,
title = {Arc Stability and Schemic Motivic Integration},
author = {Andrew Stout},
journal= {arXiv preprint arXiv:1212.1375},
year = {2013}
}
Comments
change in format, minor revisions, 29 pages