2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70348We give sufficient cohomological criteria for the classes of given varieties over a field $k$ to be algebraically independent in the Grothendieck ring of varieties over $k$ and construct some examples.final version; to appear in the Transactions of the AMSAlgebraic Geometry14A10Algebraic independence in the Grothendieck ring of varietiestext