Coniveau filtration and mixed motives
Algebraic Geometry
2011-06-07 v1
Abstract
We introduce the motivic coniveau exact couple of a smooth scheme, in the framework of mixed motives, whose property is to universally give rise to coniveau spectral sequences through realizations. The main result is a computation of its differentials in terms of residues and transfers of mixed motives, with a formula analog to the one defining the Weil divisor of a rational function. We then show how to recover and extend classical results of Bloch and Ogus for motivic realizations.
Keywords
Cite
@article{arxiv.1106.0905,
title = {Coniveau filtration and mixed motives},
author = {F. Déglise},
journal= {arXiv preprint arXiv:1106.0905},
year = {2011}
}
Comments
This is a part of the first version of the arxiv preprint "Around the Gysin triangle I" by the same author