M. Larsen, V. A. Lunts, “Motivic measures and stable birational geometry”, Mosc. Math. J., 2003, Volume 3, Number 1,Pages <nobr>85

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Motivic measures and stable birational geometry

M. Larsen, V. A. Lunts

Indiana University

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

Key words and phrases: Grothendieck group, motivic zeta-function, stable birational equivalence.

MSC: 14F42, 14E05

Received: October 19, 2001

Language: English

DOI: 10.17323/1609-4514-2003-3-1-85-95