Gerbes and Abelian Motives
نویسنده
چکیده
Assuming the Hodge conjecture for abelian varieties of CM-type, one obtains a good category of abelian motives over Fal p and a reduction functor to it from the category of CM-motives over Qal. Consequently, one obtains a morphism of gerbes of fibre functors with certain properties. We prove unconditionally that there exists a morphism of gerbes with these properties, and we classify them.
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