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Canonical models and adelic representations. (English) Zbl 0788.14016
The paper considers \(\ell\)-adic Galois-representations associated to rational points on certain Shimura-varieties of abelian type. Its main result is a version of the Tate-conjecture in this setting.

MSC:
14G35 Modular and Shimura varieties
14G05 Rational points
14K15 Arithmetic ground fields for abelian varieties
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