Corrigendum: “Realization of Voevodsky’s motives”. (English) Zbl 1058.14033
In an earlier paper [J. Algebr. Geom. 9, No. 4, 755–799 (2000; Zbl 0994.14014)] the author presented a construction of a realization functor from the triangulated category of geometrical motives, introduced by V. Voevodsky, to the triangulated category of mixed realizations, introduced by the author. This construction, however, contained a mistake. This mistake relies on the false assumption that a system of hypercovers is filtering.
In the present paper the author provides necessary corrections by modifying some results. It turns out that after these changes main results of the original paper remain valid. The corrigendum is written in a very clear way.
In the present paper the author provides necessary corrections by modifying some results. It turns out that after these changes main results of the original paper remain valid. The corrigendum is written in a very clear way.
Reviewer: Piotr Krasoń (Szczecin)
MSC:
| 14F42 | Motivic cohomology; motivic homotopy theory |
| 14F30 | \(p\)-adic cohomology, crystalline cohomology |
| 18E30 | Derived categories, triangulated categories (MSC2010) |
Citations:
Zbl 0994.14014References:
| [1] | P. Balmer, M. Schlichting, Idempotent completion of triangulated categories. J. Algebra 236 (2001), no. 2, 819-834. · Zbl 0977.18009 |
| [2] | P. Deligne, Théorie de Hodge. III, Inst. Hautes Etudes Sci. Publ. Math. No. 44 (1974), 5-77. |
| [3] | A. Huber, Realization of Voevodsky’s motives. J. Algebraic Geom. 9 (2000), no. 4, 755-799. · Zbl 0994.14014 |
| [4] | J.L. Verdier, Cohomologie dans les topos, SGA 4, Exp. V, LN 270, Springer 1972. · Zbl 0249.14005 |
| [5] | 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. · Zbl 1019.14009 |
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