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arXiv · 1511.02453

Motivic vanishing cycles as a motivic measure

Valery A. Lunts·Olaf M. Schnürer
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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.

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Valery A. Lunts, Olaf M. Schnürer. 2015-11-08. Motivic vanishing cycles as a motivic measure. https://arxiv.org/abs/1511.02453

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