On weights for relative motives with integral coefficients
Algebraic Geometry
2013-12-31 v2 K-Theory and Homology
Abstract
The goal of this paper is to define a certain Chow weight structure for the category of Voevodsky's motivic complexes with integral coefficients (as described by Cisinski and Deglise) over any excellent finite-dimensional separated scheme . Our results are parallel to (though substantially weaker than) the corresponding 'rational coefficient' statements proved by D. Hebert and the author. As an immediate consequence of the existence of 'weights', we obtain certain (Chow)-weight spectral sequences and filtrations for any (co)homology of -motives.
Keywords
Cite
@article{arxiv.1304.2335,
title = {On weights for relative motives with integral coefficients},
author = {Mikhail V. Bondarko},
journal= {arXiv preprint arXiv:1304.2335},
year = {2013}
}
Comments
Several minor corrections (mostly in section 1.3) were made. arXiv admin note: substantial text overlap with arXiv:1007.4543