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weight spectral sequence

Journal of the Institute of Mathematics of Jussieu (1)

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WEIGHT SPECTRAL SEQUENCES AND INDEPENDENCE OF $\ell$
Takeshi Saito
Journal:

Journal of the Institute of Mathematics of Jussieu / Volume 2 / Issue 4 / October 2003

Published online by Cambridge University Press:

16 September 2003, pp. 583-634

Print publication:

October 2003
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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