中文

K\"unneth projectors for open varieties

代数几何 2007-05-23 v3 数论

摘要

We consider correspondences on smooth quasiprojective varieties UU. An algebraic cycle inducing the K\"unneth projector onto H1(U)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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引用

@article{arxiv.math/0502447,
  title  = {K\"unneth projectors for open varieties},
  author = {Spencer Bloch and Hélène Esnault},
  journal= {arXiv preprint arXiv:math/0502447},
  year   = {2007}
}

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latex 18 pages