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arxiv: 1303.3172 · v4 · pith:3BHHV4QFnew · submitted 2013-03-13 · 🧮 math.AG · math.AT· math.KT

Relations between the Chow motive and the noncommutative motive of a smooth projective variety

classification 🧮 math.AG math.ATmath.KT
keywords chowdecomposabilityisomorphismmotivemotivesnoncommutativenotionstype
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In this note we relate the notions of Lefschetz type, decomposability, and isomorphism, on Chow motives with the notions of unit type, decomposability, and isomorphism, on noncommutative motives. Examples, counter-examples, and applications are also described.

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