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Picard 1-motives and Tate sequences for function fields

Picard 1-motives and Tate sequences for function fields

We use our previous work [4] on the Galois module structure of ℓ–adic realizations of Picard 1–motives to construct explicit representatives in the ℓ–adified Tate class (i.e. explicit ℓ–adic Tate sequences, as defined in [8]) for general Galois extensions of characteristic p>0 global fields. If combined with the Equivariant Main …