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A note on relative duality for Voevodsky motives

Luca Barbieri-Viale·Bruno Kahn
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Abstract

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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Luca Barbieri-Viale, Bruno Kahn. 2007-01-26. A note on relative duality for Voevodsky motives. https://arxiv.org/abs/math/0701782

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