RT Journal Article T1 Higher order generalized Euler characteristics and generating series A1 Gusein Zade, S.M. A1 Luengo Velasco, Ignacio A1 Melle Hernández, Alejandro AB For 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. PB Elsevier SN 0393-0440 YR 2015 FD 2015-09 LK https://hdl.handle.net/20.500.14352/24120 UL https://hdl.handle.net/20.500.14352/24120 LA eng DS Docta Complutense RD 11 may 2025