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Hodge realizations of 1-motives and the derived Albanese
Published online by Cambridge University Press: 31 January 2012
Abstract
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 LAlbℚ, commute with the Hodge realization. This result yields a new proof of the rational form of Deligne's conjecture on 1-motives.
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