2015/11/08 by Valery A. Lunts, Lunts, Valery A., Olaf M. Schnürer +1
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG
paper · pdf · doi:10.48550/arxiv.1511.02453
33 pages, minor improvements
arxiv created 2016/02/05 · arxiv updated 2016/02/08
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.