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

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

2006-05-17

arxiv.org/abs/math/0605467v1

Mathematics

Algebraic Geometry

18 pages

Scientific paper

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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