Some applications of weight structures of Bondarko
classification
🧮 math.AG
keywords
categoryintegralmotivesstructuresweightapplicationsbondarkocertain
read the original abstract
We construct a functor from the triangulated category of Voevodsky motives to a certain derived category of mixed Hodge structures enriched with integral weight filtration. We use this construction to prove a strong integral version of the Deligne conjecture on 1-motives which was known previously only up to isogeny.
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