TY - JOUR
T1 - Quasi DG categories and mixed motivic sheaves
AU - Hanamura, Masaki
N1 - Publisher Copyright:
© 2014 Elsevier B.V.
PY - 2015/7/1
Y1 - 2015/7/1
N2 - We introduce the notion of a quasi DG category, generalizing that of a DG category. With 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.
AB - We introduce the notion of a quasi DG category, generalizing that of a DG category. With 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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U2 - 10.1016/j.jpaa.2014.09.030
DO - 10.1016/j.jpaa.2014.09.030
M3 - Article
AN - SCOPUS:84925111293
SN - 0022-4049
VL - 219
SP - 2816
EP - 2900
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 7
ER -