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Construction of triangulated categories of motives using the localization property

Published 2 Aug 2017 in math.AG and math.KT | (1708.00597v1)

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

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