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Künneth projectors for open varieties

Spencer Bloch, Hélène Esnault

math.AGarXiv:math/0502447

Abstract

We consider correspondences on smooth quasiprojective varieties U. An algebraic cycle inducing the Künneth projector onto H1(U) is constructed. Assuming normal crossings at infinity, the existence of relative motivic cohomology is shown to imply the independence of for traces of open correspondences.

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