Künneth projectors for open varieties

Details Künneth projectors for open varieties Künneth projectors for open varieties

2005-02-21

arxiv.org/abs/math/0502447v3

Mathematics

Algebraic Geometry

latex 18 pages

Scientific paper

We consider correspondences on smooth quasiprojective varieties $U$. An
algebraic cycle inducing the K\"unneth projector onto $H^1(U)$ is constructed.
Assuming normal crossings at infinity, the existence of relative motivic
cohomology is shown to imply the independence of $\ell$ for traces of open
correspondences.

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