Quasi DG categories and mixed motivic sheaves

Masaki Hanamura

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Pages (from-to)2816-2900
Number of pages85
JournalJournal of Pure and Applied Algebra
Volume219
Issue number7
DOIs
Publication statusPublished - 2015 Jul 1

ASJC Scopus subject areas

  • Algebra and Number Theory

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