Motivic vanishing cycles as a motivic measure
Algebraic Geometry
2016-02-08 v2
Abstract
We show that the motivic vanishing cycles introduced by J. Denef and F. Loeser give rise to a motivic measure on the Grothendieck ring of varieties over the affine line. We discuss the relation of this motivic measure to the motivic measure we constructed earlier using categories of matrix factorizations.
Keywords
Cite
@article{arxiv.1511.02453,
title = {Motivic vanishing cycles as a motivic measure},
author = {Valery A. Lunts and Olaf M. Schnürer},
journal= {arXiv preprint arXiv:1511.02453},
year = {2016}
}
Comments
33 pages, minor improvements