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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2007, Volume 258, Pages 58–69 (Mi tm476)  
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
Full-text PDF (245 kB) Citations (17)
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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.
Received in October 2006
English version:
Proceedings of the Steklov Institute of Mathematics, 2007, Volume 258, Pages 53–64
DOI: https://doi.org/10.1134/S0081543807030066
Bibliographic databases:
UDC: 512.56
Language: Russian
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
Citation in format AMSBIB
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\by S.~M.~Gusein-Zade, I.~Luengo, A.~Melle-Hern\'andez
\paper On the Power Structure over the Grothendieck Ring of Varieties and Its Applications
\inbook Analysis and singularities. Part~1
\bookinfo Collected papers. Dedicated to academician Vladimir Igorevich Arnold on the occasion of his 70th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2007
\vol 258
\pages 58--69
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm476}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2400523}
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\transl
\jour Proc. Steklov Inst. Math.
\yr 2007
\vol 258
\pages 53--64
\crossref{https://doi.org/10.1134/S0081543807030066}
\elib{https://elibrary.ru/item.asp?id=13555424}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-35148878851}
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    • This publication is cited in the following 17 articles:
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