Duality theorems for Néron models (Q1091441)

Let R be a complete discrete valuation ring with finite residue field and let K be its fraction field. For every abelian variety \(A_ K\) over K let A be its Néron model over Spec(R). The author proves a duality theorem for the Néron model A which extends the Tate's duality for the abelian variety \(A_ K\). Moreover, under suitable hypothesis, he deduces a flat duality theorem for A[n], the kernel of multiplication by n. - The proof uses the properties of Néron models and the biextensions.