Some applications of weight structures of Bondarko

Details Some applications of weight structures of Bondarko Some applications of weight structures of Bondarko

2011-02-02

arxiv.org/abs/1102.0579v2

Mathematics

Algebraic Geometry

25 pages. Final version. To appear in IMRN

Scientific paper

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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