Construction of triangulated categories of motives using the\n localization property

2017/08/02 by Doosung Park, Park, Doosung
Mathematics · #Algebraic structures and combinatorial models #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1708.00597

Abstract

Using the localization property, we construct a triangulated category of\nmotives over quasi-projective T-schemes for any coefficient where T is a\nnoetherian separated scheme, and we prove the Grothendieck six operations\nformalism. We also construct integral 'etale realization of motives.\n

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