Motivic measures and stable birational geometry

2001/10/23 by Michael Larsen, Larsen, Michael, Valery A. Lunts +1 · 4 citations
Mathematics · #14E05 #14F42 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14E05 #msc:14F42

paper · pdf · doi:10.48550/arxiv.math/0110255

13 pages

arxiv created 2001/10/23 · arxiv updated 2009/11/30

Abstract

We study the motivic Grothendieck group of algebraic varieties from the point of view of stable birational geometry. In particular, we obtain a counter-example to a conjecture of M. Kapranov on the rationality of motivic zeta-function.

Cited by

• Some remarks on L-equivalence for cubic fourfolds and hyper-Kähler manifolds
• Involution on the Graded Grothendieck Ring of Varieties and \mathbbD-Singularities
• Motivic classes of stacks in finite characteristic and applications to stacks of Higgs bundles
• Singularities of symmetric powers and irrationality of motivic zeta functions

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