Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:citation |
gptkb:SGA_7
Mumford's Abelian Varieties |
| gptkbp:definedIn |
scheme
|
| gptkbp:dimensions |
relative dimension g (for some integer g)
|
| gptkbp:example |
family of elliptic curves
|
| gptkbp:field |
gptkb:algebraic_geometry
|
| gptkbp:generalizes |
gptkb:algebraic_geometry
|
| gptkbp:heldBy |
group law
zero section |
| https://www.w3.org/2000/01/rdf-schema#label |
Abelian scheme
|
| gptkbp:introduced |
gptkb:Alexander_Grothendieck
|
| gptkbp:property |
connected fibers
proper morphism smooth morphism |
| gptkbp:rank |
base scheme S
|
| gptkbp:relatedTo |
gptkb:Néron_model
gptkb:Picard_scheme |
| gptkbp:structure |
group scheme
|
| gptkbp:used_in |
arithmetic geometry
moduli theory |
| gptkbp:bfsParent |
gptkb:Abelian_varieties
|
| gptkbp:bfsLayer |
7
|