Journal of Algebraic Geometry

Author(s): A. Huber
Journal: J. Algebraic Geom. 13 (2004), 195-207.
Posted: September 3, 2003
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Abstract: One key aim of the author [Realization of Voevodsky's motives, J. Algebraic Geom. 9 (2000), no. 4, 755-799] was to construct a realization functor from Voevodsky's triangulated category of geometrical motives to her own triangulated category of mixed realizations. This note corrects a mistake in this construction. The new argument consists of a rearrangement of the original construction together with a careful analysis of hypercovers of complexes of varieties.

[BS]: P. Balmer, M. Schlichting, Idempotent completion of triangulated categories. J. Algebra 236 (2001), no. 2, 819-834.
[D]: P. Deligne, Théorie de Hodge. III, Inst. Hautes Etudes Sci. Publ. Math. No. 44 (1974), 5-77.
[H]: A. Huber, Realization of Voevodsky's motives. J. Algebraic Geom. 9 (2000), no. 4, 755-799.
[SG4V]: J.L. Verdier, Cohomologie dans les topos, SGA 4, Exp. V, LN 270, Springer 1972.
[V]: V. Voevodsky, Triangulated Categories of Motives over a Field, in: V. Voevodsky, A. Suslin, E.M. Friedlander, Cycles, Transfers, and Motivic Homology Theories, Annals of Mathematics Studies, 143, Princeton University Press 2000.

A. Huber
Affiliation: Mathematical Institute, University of Leipzig, Augustusplatz 10/11, 04009 Leipzig, Germany
Email: huber@mathematik.uni-leipzig.de

PII: S 1056-3911(03)00374-6
Received by editor(s): October 23, 2002
Posted: September 3, 2003

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