2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115402Given a complex smooth algebraic variety X, we compute the generating function of the stringy motives of its symmetric powers as a function of motive of X. In dimension two we recover the Goettsche formulas for Hilbert schemes. We use the formalism of lambda-rings to get a particularly compact formula, which is convenient for explicit computations.Algebraic Geometry14Q15text