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WEIGHT SPECTRAL SEQUENCES AND INDEPENDENCE OF $\ell$

Published online by Cambridge University Press:  16 September 2003

Takeshi Saito
Takeshi Saito
Affiliation:
Department of Mathematical Sciences, University of Tokyo, Tokyo 153-8914, Japan ([email protected])
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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

Keywords

semi-stable reductionweight spectral sequenceindependence of $\ell$monodromy filtrationvanishing cycles
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 2 , Issue 4 , October 2003 , pp. 583 - 634
Copyright
2003 Cambridge University Press

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