Quasi DG categories and mixed motivic sheaves

• Masaki Hanamura ^[1]
  1. [1] Tohoku University

     Tohoku University

     Aoba-ku, Japón

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 7 (July 2015), 2015, págs. 2816-2900
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2014.09.030
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• Resumen

  • 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.