Notes on Artin-Tate motives

Abstract

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.

23 pages

Cited by in corpus (7)

• The intersection motive of the moduli stack of shtukas
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• A note on compactly generated co-t-structures
• Noncommutative Artin motives
• f-cohomology and motives over number rings