Hodge realizations of 1-motives and the derived Albanese

Mathematics – Algebraic Geometry

Scientific paper

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Final version. To appear in JKT

Scientific paper

We prove that the embedding of the derived category of 1-motives into the
triangulated category of effective Voevodsky motives, as well as its left
adjoint functor $LAlb$, commute with the Hodge realization.

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