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Moscow Mathematical Journal, 2003, Volume 3, Number 1, Pages 85–95
DOI: https://doi.org/10.17323/1609-4514-2003-3-1-85-95 (Mi mmj77) 		 
This article is cited in 75 scientific papers (total in 75 papers)

Motivic measures and stable birational geometry

M. Larsen, V. A. Lunts

Indiana University
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DOI: https://doi.org/10.17323/1609-4514-2003-3-1-85-95
Abstract: We study the motivic Grothendieck group of algebraic varieties from the point of view of stable birational geometry. In particular, we obtain a counterexample to a conjecture of M. Kapranov on the rationality of motivic zeta-functions.
Key words and phrases: Grothendieck group, motivic zeta-function, stable birational equivalence.
Received: October 19, 2001
Bibliographic databases:
MSC: 14F42, 14E05
Language: English
Citation: M. Larsen, V. A. Lunts, “Motivic measures and stable birational geometry”, Mosc. Math. J., 3:1 (2003), 85–95
Citation in format AMSBIB
\Bibitem{LarLun03}
\by M.~Larsen, V.~A.~Lunts
\paper Motivic measures and stable birational geometry
\jour Mosc. Math.~J.
\yr 2003
\vol 3
\issue 1
\pages 85--95
\mathnet{http://mi.mathnet.ru/mmj77}
\crossref{https://doi.org/10.17323/1609-4514-2003-3-1-85-95}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1996804}
\zmath{https://zbmath.org/?q=an:1056.14015}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000208594100007}
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    • This publication is cited in the following 75 articles:
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