Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
algebraic curves
abelian varieties |
| gptkbp:citation |
Néron, André. Modèles minimaux des variétés abéliennes sur les corps locaux et globaux. Publications Mathématiques de l'IHÉS, 1964.
|
| gptkbp:defines |
A Néron minimal model is a smooth, separated, and quasi-projective scheme over a Dedekind scheme that extends an abelian variety and satisfies a universal mapping property.
|
| gptkbp:field |
gptkb:algebraic_geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Néron minimal model
|
| gptkbp:introducedIn |
1960s
|
| gptkbp:namedAfter |
gptkb:André_Néron
|
| gptkbp:property |
Any morphism from a smooth scheme to the generic fiber extends uniquely to the Néron model.
|
| gptkbp:relatedTo |
minimal model
reduction of abelian varieties |
| gptkbp:usedIn |
arithmetic geometry
study of elliptic curves |
| gptkbp:bfsParent |
gptkb:André_Néron
|
| gptkbp:bfsLayer |
7
|