Slice filtration on motives and the Hodge conjecture, by Annette Huber

We study the slice filtration on the triangulated category of motives via the Hodge realization functor. Systematic use of standard conjectures (including the generalized Hodge conjecture) allows to get a conjectural picture of the expected properties of the slice filtration.


Annette Huber <huber@mathematik.uni-leipzig.de>