Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
elliptic curves
abelian varieties |
| gptkbp:describes |
group of rational points of an abelian variety over a number field
|
| gptkbp:field |
gptkb:algebraic_geometry
number theory |
| gptkbp:heldBy |
finitely generated abelian group
|
| https://www.w3.org/2000/01/rdf-schema#label |
Mordell–Weil group
|
| gptkbp:namedAfter |
gptkb:André_Weil
gptkb:Louis_Mordell |
| gptkbp:rank |
gptkb:Mordell–Weil_rank
|
| gptkbp:relatedTo |
gptkb:Birch_and_Swinnerton-Dyer_conjecture
rational points group law on elliptic curves |
| gptkbp:structure |
direct sum of finite torsion group and free abelian group
|
| gptkbp:studiedIn |
Diophantine geometry
|
| gptkbp:theory |
gptkb:Mordell–Weil_theorem
|
| gptkbp:bfsParent |
gptkb:Algebraic_number_theory
|
| gptkbp:bfsLayer |
5
|