Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Raynaud's_theorem
|
| gptkbp:concerns |
abelian varieties
torsion points |
| gptkbp:field |
gptkb:algebraic_geometry
arithmetic geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Manin–Mumford conjecture
|
| gptkbp:proposedBy |
gptkb:Yuri_Manin
gptkb:David_Mumford |
| gptkbp:provenBy |
gptkb:Michel_Raynaud
|
| gptkbp:relatedTo |
gptkb:Mordell–Lang_conjecture
gptkb:André–Oort_conjecture |
| gptkbp:sentence |
A subvariety of an abelian variety contains only finitely many torsion points unless it contains a translate of an abelian subvariety by a torsion point.
|
| gptkbp:yearProposed |
1965
|
| gptkbp:yearProved |
1983
|
| gptkbp:bfsParent |
gptkb:Yuri_Manin
|
| gptkbp:bfsLayer |
5
|