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Slice filtration on motives and the Hodge conjecture (with an appendix by J. Ayoub)
Authors:Annette Huber
Abstract:We clarify the expected properties of the slice filtration on triangulated motives from the point of view of the generalized Hodge conjecture. In the appendix, J. Ayoub proves unconditionally that the slice filtration does not respect geometric motives. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Keywords:Motives  slice filtration  weight filtration  generalized Hodge conjecture
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