%0 Journal Article %A Gusein-Zade, Sabir Medgidovich %A Luengo Velasco, Ignacio %A Melle Hernández, Alejandro %T On the power structure over the Grothendieck ring of varieties and its applications %D 2007 %@ 1531-8605 %U https://hdl.handle.net/20.500.14352/50581 %X 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. %~