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    Illusie, Luc 2006. Miscellany on traces in ℓ-adic cohomology: a survey. Japanese Journal of Mathematics, Vol. 1, Issue. 1, p. 107.
    Mieda, Y. 2006. On the action of the Weil group on the  -adic cohomology of rigid spaces over local fields. International Mathematics Research Notices,
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WEIGHT SPECTRAL SEQUENCES AND INDEPENDENCE OF $\ell$

  • Takeshi Saito (a1)
Abstract

For a variety over a local field, we show that the alternating sum of the traces of the composition of the actions of an element of the Weil group and an algebraic correspondence on the $\ell$-adic etale cohomology is independent of $\ell$. We prove the independence by establishing basic properties of weight spectral sequences.

AMS 2000 Mathematics subject classification: Primary 14G20. Secondary 11G25

Copyright
2003 Cambridge University Press
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Journal of the Institute of Mathematics of Jussieu
  • ISSN: 1474-7480
  • EISSN: 1475-3030
  • URL: /core/journals/journal-of-the-institute-of-mathematics-of-jussieu
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