Gusein Zade, S.M.Luengo Velasco, IgnacioMelle Hernández, Alejandro2023-06-182023-06-182015-090393-044010.1016/j.geomphys.2015.04.009https://hdl.handle.net/20.500.14352/24120For a complex quasi-projective manifold with a finite group action, we define higher order generalized Euler characteristics with values in the Grothendieck ring of complex quasi-projective varieties extended by the rational powers of the class of the affine line. We compute the generating series of generalized Euler characteristics of a fixed order of the Cartesian products of the manifold with the wreath product actions on them.engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0393044015000996http://www.sciencedirect.com/http://arxiv.org/abs/1303.5574restricted access512Complex quasi-projective varietiesFinite group actionsOrbifold Euler characteristicWreath productsGenerating seriesÁlgebra1201 Álgebra