Construction of triangulated categories of motives using the localization property
classification
🧮 math.AG
math.KT
keywords
motivesconstructlocalizationpropertytriangulatedcategoriescategorycoefficient
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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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