Hodge realizations of 1-motives and the derived Albanese
classification
🧮 math.AG
math.KT
keywords
motivescategoryderivedhodgeadjointalbanesecommuteeffective
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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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