Grothendieck’s Pairing for Jacobians and Base Change
نویسنده
چکیده
Let K be a complete field with a discrete valuation v, ring of integers OK , and maximal ideal (πK). Let k := OK/(πK) be the residue field, assumed to be separably closed of characteristic p ≥ 0. Let A/K be any abelian variety of dimension g. Let A/OK denote its Néron model, with special fiber Ak/k and group of components ΦA,K . Let A′/K denote the dual abelian variety, with Néron model A/OK and group of components ΦA′,K . Grothendieck’s pairing 〈 , 〉K : ΦA,K × ΦA′,K −→ Q/Z
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