### Hodge realizations of 1-motives and the derived AlbaneseHodge realizations of 1-motives and the derived Albanese

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 Author Vologodsky, Vadim Source arXiv.org Content type Text File Format PDF Date of Submission 2008-09-16 Language English
 Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics Subject Keyword Mathematics - Algebraic Geometry ♦ Mathematics - K-Theory and Homology ♦ 14F42 ♦ math Abstract 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. Educational Use Research Learning Resource Type Article