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Regular version of the site

Article

Hodge realizations of 1-motives and the derived Albanese

K-Theory. 2012. Vol. 10. No. 2. P. 371-412.

We prove that the embedding of the derived category of 1-motives up to isogeny into the triangulated category of effective Voevodsky motives, as well as its left adjoint functor LAlb ℚ, commute with the Hodge realization. This result yields a new proof of the rational form of Deligne's conjecture on 1-motives.