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arXiv · 1212.1375

Arc Stability and Schemic Motivic Integration

Andrew Stout
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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.

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Andrew Stout. 2013-11-15. Arc Stability and Schemic Motivic Integration. https://arxiv.org/abs/1212.1375

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