Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Mordell_conjecture
|
| gptkbp:awarded |
gptkb:mathematics
|
| gptkbp:field |
number theory
arithmetic geometry |
| gptkbp:implies |
gptkb:Mordell_conjecture
|
| gptkbp:provenBy |
gptkb:Gerd_Faltings
|
| gptkbp:publishedIn |
gptkb:Inventiones_Mathematicae
|
| gptkbp:relatedTo |
gptkb:Diophantine_equations
gptkb:genus algebraic curves number fields rational points |
| gptkbp:state |
A curve of genus greater than 1 over a number field has only finitely many rational points.
|
| gptkbp:yearProved |
1983
|
| gptkbp:bfsParent |
gptkb:Abelian_varieties
gptkb:Mordell_conjecture gptkb:Diophantine_Geometry gptkb:Faltings_height |
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Faltings' theorem
|