Coniveau filtration and mixed motives

Details Coniveau filtration and mixed motives Coniveau filtration and mixed motives

2011-06-05

arxiv.org/abs/1106.0905v1

Mathematics

Algebraic Geometry

This is a part of the first version of the arxiv preprint "Around the Gysin triangle I" by the same author

Scientific paper

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.

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