Motivic measures and stable birational geometry

Details Motivic measures and stable birational geometry Motivic measures and stable birational geometry

2001-10-23

arxiv.org/abs/math/0110255v1

Mathematics

Algebraic Geometry

13 pages

Scientific paper

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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