Notes on Artin-Tate motives
Algebraic Geometry
2017-06-23 v2 K-Theory and Homology
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.
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Cite
@article{arxiv.0811.4551,
title = {Notes on Artin-Tate motives},
author = {J. Wildeshaus},
journal= {arXiv preprint arXiv:0811.4551},
year = {2017}
}
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23 pages