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Slice filtration on motives and the Hodge conjecture (with an appendix by J. Ayoub)

✍ Scribed by Annette Huber

Publisher: John Wiley and Sons
Year: 2008
Tongue: English
Weight: 177 KB
Volume: 281
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200510712

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✦ Synopsis

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)

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