Néron model

In algebraic geometry, the Néron model (or Néron minimal model, or minimal model) for an abelian variety A_K defined over the field of fractions K of a Dedekind domain R is the "push-forward" of A_K from Spec(K) to Spec(R), in other words the "best possible" group scheme A_R defined over R corresponding to A_K.

They were introduced by André Néron (1961, 1964) for abelian varieties over the quotient field of a Dedekind domain R with perfect residue fields, and Raynaud (1966) extended this construction to semiabelian varieties over all Dedekind domains.

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