Some applications of weight structures of Bondarko

2011/02/02 by Vologodsky, Vadim
#14C25 #14F42 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1102.0579

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.

Related

• On weights for relative motives with integral coefficients
• Réalisations de Hodge des motifs de Voevodsky
• Complexe de Poids, Dualité et Motifs de Beilinson
• Deligne 1-motives with torsion and étale motives
• Deligne's conjecture on extensions of 1-motives