Quasi DG categories and mixed motivic sheaves
Algebraic Geometry
2014-01-03 v1 K-Theory and Homology
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 -diagrams. We then show the homotopy category of the quasi DG category of -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.
Keywords
Cite
@article{arxiv.1401.0144,
title = {Quasi DG categories and mixed motivic sheaves},
author = {Masaki Hanamura},
journal= {arXiv preprint arXiv:1401.0144},
year = {2014}
}