A note on relative duality for Voevodsky motives

Details A note on relative duality for Voevodsky motives A note on relative duality for Voevodsky motives

2007-01-26

arxiv.org/abs/math/0701782v1

Tohoku Math. Journal 60, 2 (2008) 349--356

Mathematics

Algebraic Geometry

Scientific paper

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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