Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
rational points
abelian varieties |
| gptkbp:field |
gptkb:algebraic_geometry
number theory |
| gptkbp:generalizes |
abelian varieties
Mordell–Weil–Lang theorem |
| https://www.w3.org/2000/01/rdf-schema#label |
Mordell-Weil theorem
|
| gptkbp:implies |
gptkb:Mordell's_theorem
|
| gptkbp:namedAfter |
gptkb:André_Weil
gptkb:Louis_Mordell |
| gptkbp:originallyProvedFor |
elliptic curves
|
| gptkbp:publishedIn |
gptkb:Proceedings_of_the_Cambridge_Philosophical_Society
|
| gptkbp:relatedTo |
gptkb:Birch_and_Swinnerton-Dyer_conjecture
gptkb:Faltings's_theorem |
| gptkbp:state |
the group of rational points of an abelian variety over a number field is finitely generated
|
| gptkbp:usedIn |
Diophantine geometry
arithmetic geometry |
| gptkbp:yearProved |
1922
|
| gptkbp:bfsParent |
gptkb:Birch_and_Swinnerton-Dyer_Conjecture
gptkb:Mordell-Weil_group |
| gptkbp:bfsLayer |
6
|