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Article

Some applications of weight structures of Bondarko

International Mathematics Research Notices. 2013. Vol. 2013. No. 2. P. 291-327.

We construct a functor from the triangulated category of Voevodsky motives to a certain derived category of mixed Hodge structures enriched with integral weight filtration. We use this construction to prove a strong integral version of the Deligne conjecture on 1-motives which was known previously only up to isogeny.