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arxiv: math/0110255 · v1 · submitted 2001-10-23 · 🧮 math.AG

Motivic measures and stable birational geometry

classification 🧮 math.AG
keywords motivicbirationalgeometrystablealgebraicconjecturecounter-examplegrothendieck
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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.

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