Gusein-Zade, Sabir MedgidovichLuengo Velasco, IgnacioMelle Hernández, Alejandro2023-06-202023-06-202007-091531-860510.1134/S0081543807030066https://hdl.handle.net/20.500.14352/50581Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2007, Vol. 258, pp. 58–69.We discuss the notion of a power structure over a ring and the geometric description of the power structure over the Grothendieck ring of complex quasi-projective varieties and show some examples of applications to generating series of classes of configuration spaces (for example, nested Hilbert schemes of J. Cheah) and wreath product orbifolds.engjournal articlehttp://link.springer.com/article/10.1134/S0081543807030066http://www.springer.com/restricted access512.774Grothendieck ringHilbert schemes.Geometria algebraica1201.01 Geometría Algebraica