Corrigendum to “Realization of Voevodsky’s motives”
Author:
A. Huber
Journal:
J. Algebraic Geom. 13 (2004), 195-207
DOI:
https://doi.org/10.1090/S1056-3911-03-00374-6
Published electronically:
September 3, 2003
MathSciNet review:
2008720
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Abstract |
References |
Additional Information
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]BSP. Balmer, M. Schlichting, Idempotent completion of triangulated categories. J. Algebra 236 (2001), no. 2, 819–834.
[D]DP. Deligne, Théorie de Hodge. III, Inst. Hautes Etudes Sci. Publ. Math. No. 44 (1974), 5–77.
[H]HA. Huber, Realization of Voevodsky’s motives. J. Algebraic Geom. 9 (2000), no. 4, 755–799.
[SG4V]VJ.L. Verdier, Cohomologie dans les topos, SGA 4, Exp. V, LN 270, Springer 1972.
[V]VoeV. 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.
[BS]BSP. Balmer, M. Schlichting, Idempotent completion of triangulated categories. J. Algebra 236 (2001), no. 2, 819–834.
[D]DP. Deligne, Théorie de Hodge. III, Inst. Hautes Etudes Sci. Publ. Math. No. 44 (1974), 5–77.
[H]HA. Huber, Realization of Voevodsky’s motives. J. Algebraic Geom. 9 (2000), no. 4, 755–799.
[SG4V]VJ.L. Verdier, Cohomologie dans les topos, SGA 4, Exp. V, LN 270, Springer 1972.
[V]VoeV. 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.
Additional Information
A. Huber
Affiliation:
Mathematical Institute, University of Leipzig, Augustusplatz 10/11, 04009 Leipzig, Germany
MR Author ID:
309501
Email:
huber@mathematik.uni-leipzig.de
Received by editor(s):
October 23, 2002
Published electronically:
September 3, 2003
