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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2007, Volume 258, Pages 58–69
(Mi tm476)
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This article is cited in 17 scientific papers (total in 17 papers)
On the Power Structure over the Grothendieck Ring of Varieties and Its Applications
S. M. Gusein-Zadea, I. Luengob, A. Melle-Hernándezb a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Departamento de Álgebra, Universidad Complutense de Madrid
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.
Received in October 2006
Citation:
S. M. Gusein-Zade, I. Luengo, A. Melle-Hernández, “On the Power Structure over the Grothendieck Ring of Varieties and Its Applications”, Analysis and singularities. Part 1, Collected papers. Dedicated to academician Vladimir Igorevich Arnold on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 258, Nauka, MAIK «Nauka/Inteperiodika», M., 2007, 58–69; Proc. Steklov Inst. Math., 258 (2007), 53–64
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https://www.mathnet.ru/eng/tm476 https://www.mathnet.ru/eng/tm/v258/p58
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Abstract page: | 447 | Full-text PDF : | 118 | References: | 61 |
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