On local monodromy filtrations attached to motives

Abstract

We prove special cases, of an analogue of the (local) weight monodromy conjecture, for motives over number fields. This enables us to show in many new cases that the local [Formula: see text]-factors of these motives are well defined, i.e. depend only on the motive and the valuations, and not on the chosen prime [Formula: see text] for the [Formula: see text]-adic realization.