On the power structure over the Grothendieck ring of varieties and its applications
Algebraic Geometry
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math/0605467,
title = {On the power structure over the Grothendieck ring of varieties and its applications},
author = {S. M. Gusein-Zade and I. Luengo and A. Melle-Hernandez},
journal= {arXiv preprint arXiv:math/0605467},
year = {2007}
}
Comments
18 pages