Notes on Artin-Tate motives

Details Notes on Artin-Tate motives Notes on Artin-Tate motives

2008-11-27

arxiv.org/abs/0811.4551v2

Mathematics

Algebraic Geometry

23 pages

Scientific paper

We first study the weight structure on the triangulated category of Artin-Tate motives over a perfect base field k, building on results of Bondarko's. We then study the t-structure on the triangulated category of Artin-Tate motives, when k is algebraic over the rationals, generalizing a result of Levine's. We finally study the interaction of the weight structure and the t-structure. When k is a number field, this will give a useful criterion identifying the weight structure via realizations.

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