Some applications of weight structures of Bondarko
Algebraic Geometry
2011-12-13 v2
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.
Keywords
Cite
@article{arxiv.1102.0579,
title = {Some applications of weight structures of Bondarko},
author = {Vadim Vologodsky},
journal= {arXiv preprint arXiv:1102.0579},
year = {2011}
}
Comments
25 pages. Final version. To appear in IMRN