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

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http://link.springer.com/article/10.1134/S0081543807030066

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2007

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Springer
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https://hdl.handle.net/20.500.14352/50581

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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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Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2007, Vol. 258, pp. 58–69.

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Geometria algebraica

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1201.01 Geometría Algebraica

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