2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62472We 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.13 pagesAlgebraic Geometry14F42; 14E05text