[Author: Cauchi, Antonio] AND [Keyword: Symplectic Groups] : Search

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articleNo Access
Norm-compatible systems of cohomology classes for $GU(2,2)$
- Antonio Cauchi
International Journal of Number Theory24 Sep 2019
Preview Abstract
We describe work of Faltings on the construction of étale cohomology classes associated to symplectic Shimura varieties and show that they satisfy certain trace compatibilities similar to the ones of Siegel units in the modular curve case. Starting from those, we construct a two-variable family of trace compatible classes in the cohomology of a unitary Shimura variety.

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