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On the power structure over the Grothendieck ring of varieties and its applications

S. M. Gusein-Zade·I. Luengo·A. Melle-Hernandez
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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.

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S. M. Gusein-Zade, I. Luengo, A. Melle-Hernandez. 2006-05-17. On the power structure over the Grothendieck ring of varieties and its applications. https://arxiv.org/abs/math/0605467

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