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Motives over simplicial schemes

Published online by Cambridge University Press:  18 February 2010

Vladimir Voevodsky
Vladimir Voevodsky
Affiliation:
Institute for Advanced Study, Princeton, NJ 08540, vladimir@ias.edu
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Abstract

This paper was written as a part of [8] and is intended primarily to provide the definitions and results concerning motives over simplicial schemes, which are used in the proof of the Bloch-Kato conjecture.

Keywords

relative motivesmotivic cohomologyembedded simplicial schemes
Type
Research Article
Information
Journal of K-Theory , Volume 5 , Issue 1 , February 2010 , pp. 1 - 38
Copyright
Copyright © ISOPP 2010

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References

1.Deligne, Pierre. Voevodsky's lectures on motivic cohomology 2000/2001. In Algebraic Topology, volume 4 (2009) of Abel Symposia, pages 355–409, SpringerCrossRefGoogle Scholar
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4.Voevodsky, V.. On the zero slice of the sphere spectrum. Tr. Mat. Inst. Steklova 246 (2004), (Algebr. Geom. Metody, Svyazi i Prilozh.), 106–115Google Scholar
5.Voevodsky, Vladimir. Triangulated categories of motives over a field. In Cycles, transfers, and motivic homology theories, volume 143 (2000) of Ann. of Math. Stud., pages 188–238, Princeton Univ. Press, Princeton, NJGoogle Scholar
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9.Voevodsky, Vladimir, Suslin, Andrei, and Friedlander, Eric M.. Cycles, transfers, and motivic homology theories, Annals of Mathematics Studies 143 (2000), Princeton University Press, Princeton, NJGoogle Scholar