Motivic vanishing cycles as a motivic measure

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 factoriza...

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Bibliographic Details
Published in:arXiv.org 2016-02
Main Authors: Lunts, Valery A, Schnürer, Olaf M
Format: Article
Language:English
Online Access:Get full text
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Summary: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.
ISSN:2331-8422