A note on relative duality for Voevodsky motives
Algebraic Geometry
2010-09-13 v1
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.
Keywords
Cite
@article{arxiv.math/0701782,
title = {A note on relative duality for Voevodsky motives},
author = {Luca Barbieri-Viale and Bruno Kahn},
journal= {arXiv preprint arXiv:math/0701782},
year = {2010}
}