Year: 2012
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Stout, Andrew
Institutions: The Graduate Center, CUNY, City University of New York
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2394166281