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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Variations on a question of Larsen and Lunts


Author: Julien Sebag
Journal: Proc. Amer. Math. Soc. 138 (2010), 1231-1242
MSC (2000): Primary 14E05; Secondary 14E07, 14R10
Published electronically: December 1, 2009
MathSciNet review: 2578517
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Abstract: Let $ k$ be a field of characteristic zero. Let $ X$ and $ X'$ be two $ k$-schemes of finite type having the same class in the Grothendieck ring of varieties. Is it true that $ X$ and $ X'$ are piecewise isomorphic? This question, originally asked by Larsen and Lunts, and some of its consequences constitute the subject of this article.


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Additional Information

Julien Sebag
Affiliation: Institut de Mathématiques de Bordeaux, Université Bordeaux 1, 351 cours de la libération, 33405 Talence cedex, France
Address at time of publication: Institut de Formation et de Recherche Mathématiques and Institut de Recherche Mathématiques de Rennes, 263 Avenue du Général Leclerc, CS 74205, 35042 Rennes cedex, France
Email: julien.sebag@univ-rennes1.fr

DOI: http://dx.doi.org/10.1090/S0002-9939-09-10179-X
PII: S 0002-9939(09)10179-X
Received by editor(s): March 2, 2009
Received by editor(s) in revised form: August 25, 2009
Published electronically: December 1, 2009
Communicated by: Ted Chinburg
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.