Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Mordell_conjecture
|
| gptkbp:category |
theorems in algebraic geometry
theorems in number theory |
| gptkbp:field |
gptkb:algebraic_geometry
arithmetic geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Faltings's theorem
|
| gptkbp:implies |
gptkb:Mordell_conjecture
|
| gptkbp:provenBy |
gptkb:Gerd_Faltings
|
| gptkbp:publishedIn |
gptkb:Inventiones_Mathematicae
|
| gptkbp:relatedTo |
gptkb:Diophantine_equations
gptkb:Mordell–Weil_theorem gptkb:Shafarevich_conjecture genus of a curve number fields rational points |
| gptkbp:state |
Every algebraic curve of genus greater than 1 over a number field has only finitely many rational points.
|
| gptkbp:yearProved |
1983
|
| gptkbp:bfsParent |
gptkb:Gerd_Faltings
|
| gptkbp:bfsLayer |
4
|