Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:Diophantine_equations
arithmetic of elliptic curves |
| gptkbp:category |
group theory
arithmetic geometry |
| gptkbp:defines |
the group of rational points of an abelian variety over a number field
|
| gptkbp:field |
gptkb:algebraic_geometry
number theory |
| gptkbp:generalizes |
group of rational points on an elliptic curve
|
| https://www.w3.org/2000/01/rdf-schema#label |
Mordell-Weil group
|
| gptkbp:namedAfter |
gptkb:André_Weil
gptkb:Louis_Mordell |
| gptkbp:property |
finitely generated abelian group
|
| gptkbp:rank |
Mordell-Weil rank
|
| gptkbp:relatedTo |
gptkb:elliptic_curve
|
| gptkbp:structure |
direct sum of a finite torsion group and a free abelian group
|
| gptkbp:studiedBy |
gptkb:André_Weil
gptkb:Louis_Mordell |
| gptkbp:theory |
gptkb:Mordell-Weil_theorem
|
| gptkbp:bfsParent |
gptkb:elliptic_curve
|
| gptkbp:bfsLayer |
5
|