 ##  [Néron Model](/neron-model) 

  ##  [Néron Model](https://puremath.quantumdictionary.io/neron-model-0) 

  
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- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 
Definition

A smooth, separated model of a smooth commutative algebraic group (notably an abelian variety) over a discrete valuation ring that satisfies the Néron mapping property: every morphism from a smooth scheme over the base to the generic fibre extends uniquely to the model.