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arXiv · 1401.0144

Quasi DG categories and mixed motivic sheaves

Masaki Hanamura
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Abstract

We introduce the notion of a quasi DG category, generalizing that of a DG category. To a quasi DG category satisfying certain additional conditions, we associate another quasi DG category, the quasi DG category of $C$-diagrams. We then show the homotopy category of the quasi DG category of $C$-diagrams has the structure of a triangulated category. This procedure is then applied to produce a triangulated category of mixed motives over a base variety.

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Masaki Hanamura. 2013-12-31. Quasi DG categories and mixed motivic sheaves. https://arxiv.org/abs/1401.0144

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