Surjectivity in Honda-Tate

Abstract

We have seen that this map is well-defined and injective; we still have to show that it is surjective. In concrete terms, given a Weil q-integer π, we need to construct a simple abelian variety over Fq on which the Frobenius element acts as π. The only known construction is by reducing a CM abelian variety from characteristic zero. Specifically, our… (More)

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