Higher order generalized Euler characteristics and generating series
Algebraic Geometry
2013-03-25 v1
Abstract
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.
Cite
@article{arxiv.1303.5574,
title = {Higher order generalized Euler characteristics and generating series},
author = {S. M. Gusein-Zade and I. Luengo and A. Melle-Hernández},
journal= {arXiv preprint arXiv:1303.5574},
year = {2013}
}