Smooth motives
classification
🧮 math.AG
math.AT
keywords
motivessmoothcategoryassumingbase-schemebondarkoconstructequivalent
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Following ideas of Bondarko, we construct a DG category whose homotopy category is equivalent to the full subcategory of motives over a base-scheme $S$ generated by the motives of smooth projective $S$-schemes, assuming that $S$ is itself smooth over a perfect field.
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