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Semisimplicity of certain Galois representations occurring in étale cohomology of unitary shimura varieties
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 141, Number 2, April 2019
- pp. 503-530
- 10.1353/ajm.2019.0012
- Article
- Additional Information
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Abstract
Abstract:
We show that a certain part of the middle degree $\ell$-adic cohomology of an arbitrary simple unitary Shimura variety is a semisimple Galois representation.
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