Аннотация:
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.
Ключевые слова и фразы:
Grothendieck group, motivic zeta-function, stable birational equivalence.
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