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arxiv: math/0701782 · v1 · pith:NNVRPJ4Lnew · submitted 2007-01-26 · 🧮 math.AG

A note on relative duality for Voevodsky motives

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keywords closedmotivesrelativevoevodskyadmittingcategorydisjointduality
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Let X be an n-dimensional smooth proper variety over a field admitting resolution of singularities, and Y,Z two disjoint closed subsets of X. We establish an isomorphism M(X-Z,Y) isomorphic to M(X-Y,Z)^*(n)[2n] in Voevodsky's triangulated category of geometric motives. Here, M(X-Z,Y) is the motive of X -Z relative to its closed subset Y.

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